3(4x-8)-5(2x+2)=15-25

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Solution for 3(4x-8)-5(2x+2)=15-25 equation: 


Simplifying
3(4x + -8) + -5(2x + 2) = 15 + -25

Reorder the terms:
3(-8 + 4x) + -5(2x + 2) = 15 + -25
(-8 * 3 + 4x * 3) + -5(2x + 2) = 15 + -25
(-24 + 12x) + -5(2x + 2) = 15 + -25

Reorder the terms:
-24 + 12x + -5(2 + 2x) = 15 + -25
-24 + 12x + (2 * -5 + 2x * -5) = 15 + -25
-24 + 12x + (-10 + -10x) = 15 + -25

Reorder the terms:
-24 + -10 + 12x + -10x = 15 + -25

Combine like terms: -24 + -10 = -34
-34 + 12x + -10x = 15 + -25

Combine like terms: 12x + -10x = 2x
-34 + 2x = 15 + -25

Combine like terms: 15 + -25 = -10
-34 + 2x = -10

Solving
-34 + 2x = -10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '34' to each side of the equation.
-34 + 34 + 2x = -10 + 34

Combine like terms: -34 + 34 = 0
0 + 2x = -10 + 34
2x = -10 + 34

Combine like terms: -10 + 34 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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