Question

Solve for x. Show EACH step for full credit. Circle your final answer

Answer 1

Answer:

x = 4

Step-by-step explanation:

Remember to follow PEMDAS. PEMDAS is the order of operation and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, distribute 2 to all terms within the parenthesis:

2(8 - 12x) = (2 * 8) - (2 * 12x) = 16 - 24x

Next, combine like terms. Like terms are terms with the same variables and the same amount of variables:

16 - 24x + 8x = -25x + 52

16 - 16x = -25x + 52

Isolate the variable, x. Add 25x and subtract 16 from both sides:

16 (-16) - 16x (+25x) = -25x (+25x) + 52 (-16)

-16x + 25x = 52 - 16

Combine like terms:

25x - 16x = 52 - 16

9x = 36

Isolate the variable, x. Divide 9 from both sides:

(9x)/9 = (36)/9

x = 36/9

x = 4

x = 4 is your final answer.

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Answer 2

Answer:

x=4

Step-by-step explanation:

2(8 - 12x) + 8x = -25x + 52

Distribute

16 -24x +8x = -25x +52

Combine like terms

16 - 16x = -25x +52

Add 25x to each side

16 -16x+25x = -25x+52+25x

16+9x = 52

Subtract 16 from each side

16+9x-16 = 52-16

9x = 36

Divide by 9

9x/9 = 36/9

x =4