Useful Methods For How To Solve x with Examples.

For example-

• 2^2 (x+2)+8-5= 35

Step 2: Settle the exponent. 

Solve the expression by using order BODMAS, which stands for 

• • B-Brackets, 
• O-Orders (powers/roots), 
• D-Division, 
• M-Multiplication, 
• A-Addition, 
• S-Subtraction.

 Remember! You cannot start solving it with the bracket because x is in the bracket. first solve with exponent 2^2, which means 2*2= 4

• 4(x+2)+8-5= 35

Step 3: Multiply the terms: 

Separate 4 into (x+2). Here’s How.

• 4x +8+8-5=35

Step 4: Add and Subtract the terms: 

 Add and subtract remaining digits. Here’s How.

• 4x+ 16-5=35
• 4x+11=35
• 4x=35-11
• 4x=24

Step 5: Distribute the Variable: 

Divide both sides of the expression by 4. It will result in finding out the value for x.

• 4x=24
• x=24/4
• x=6

Step 6: Re-check Work:

• 4(x+2)+8-5= 35
• 4(6+2)+8-5=35
• 4(8)+8-5=35
• 32+8-5=35
• 35=35

Suppose you have an equation where the x term contains power:

For example

• 2x^2+10=42

Step 2: Separate the terms with the power:

Now, put constant terms at the right side of the equation, and terms with power should be on the left side of the expression. Subtract 10from both sides of the equation. Here’s How.

• 2x^2+10-10=42-10
• 2x^2=32

Step 3: Separate the variable with the power by dividing both sides by the factor of the x.

 In this case, 2 is the factor of x, do a division from both sides of the equation by 2 to remove it. Here’s how:

• (2^2)/2 = 32/2
• x^2 = 16

Step 4: Take the common factor of both sides of the equation:

 Taking the common factor from both sides of the expression will remove it. Now you have only x on the left side and ± square root of 4 on the right side. Hence, 

• x = ±4

Step 5: Re-check the work.

 Put x = 4 and x = -4 in the real equation to check the answer is true.

• 2x^2+10=42
• 2*4^2+10=42
• 2*16+10=42
• 32+10=42
• 42=42

Suppose you have the following problem-

• (x+2)/6=3/2

Step 2: Cross Multiply the terms

Multiply the numerator of each fraction by the denominator of another fraction. Multiply the first numerator (x+2) by the second denominator, 2, to obtain 2x+4 on the left side. Now multiply the second numerator, 3, by the first denominator, 6, to receive 18 on the right side of the equation. Here’s How:

• (x+2)/6=3/2
• (x+2)*2=3*6
• 2x+4=18

Step 3: Merge the same terms. 

Merge the constant terms to subtract 4 from each side of the expression. Here’s How:

• 2x+4=18
• 2x=18-4
• 2x=14

Step 4: Separate the variable with the power by dividing both sides by the factor of the x. 

Do a division 2x and 14 by 2, x-factor, to find a solution for x. 2x/2=x and 14/2=7. 

Hence, the value for x=7.

Step 5: Re-check the work. 

Put x=7 in the actual equation to check the answer.

• (x+2)/6=3/2
• (7+2)/6=3/2
• (9)/6=3/2
• 9*2=3*6
• 18=18