3(5x-8)=-2(-x+7)-12x

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Solution for 3(5x-8)=-2(-x+7)-12x equation:


Simplifying
3(5x + -8) = -2(-1x + 7) + -12x

Reorder the terms:
3(-8 + 5x) = -2(-1x + 7) + -12x
(-8 * 3 + 5x * 3) = -2(-1x + 7) + -12x
(-24 + 15x) = -2(-1x + 7) + -12x

Reorder the terms:
-24 + 15x = -2(7 + -1x) + -12x
-24 + 15x = (7 * -2 + -1x * -2) + -12x
-24 + 15x = (-14 + 2x) + -12x

Combine like terms: 2x + -12x = -10x
-24 + 15x = -14 + -10x

Solving
-24 + 15x = -14 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-24 + 15x + 10x = -14 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-24 + 25x = -14 + -10x + 10x

Combine like terms: -10x + 10x = 0
-24 + 25x = -14 + 0
-24 + 25x = -14

Add '24' to each side of the equation.
-24 + 24 + 25x = -14 + 24

Combine like terms: -24 + 24 = 0
0 + 25x = -14 + 24
25x = -14 + 24

Combine like terms: -14 + 24 = 10
25x = 10

Divide each side by '25'.
x = 0.4

Simplifying
x = 0.4

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