3(x-4)-8=-2(-9x+4)-7x

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Solution for 3(x-4)-8=-2(-9x+4)-7x equation:


Simplifying
3(x + -4) + -8 = -2(-9x + 4) + -7x

Reorder the terms:
3(-4 + x) + -8 = -2(-9x + 4) + -7x
(-4 * 3 + x * 3) + -8 = -2(-9x + 4) + -7x
(-12 + 3x) + -8 = -2(-9x + 4) + -7x

Reorder the terms:
-12 + -8 + 3x = -2(-9x + 4) + -7x

Combine like terms: -12 + -8 = -20
-20 + 3x = -2(-9x + 4) + -7x

Reorder the terms:
-20 + 3x = -2(4 + -9x) + -7x
-20 + 3x = (4 * -2 + -9x * -2) + -7x
-20 + 3x = (-8 + 18x) + -7x

Combine like terms: 18x + -7x = 11x
-20 + 3x = -8 + 11x

Solving
-20 + 3x = -8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-20 + 3x + -11x = -8 + 11x + -11x

Combine like terms: 3x + -11x = -8x
-20 + -8x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
-20 + -8x = -8 + 0
-20 + -8x = -8

Add '20' to each side of the equation.
-20 + 20 + -8x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + -8x = -8 + 20
-8x = -8 + 20

Combine like terms: -8 + 20 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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