2(3x-7)+6(x-4)=-3(4-5x)+5x-12

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Solution for 2(3x-7)+6(x-4)=-3(4-5x)+5x-12 equation: 


Simplifying
2(3x + -7) + 6(x + -4) = -3(4 + -5x) + 5x + -12

Reorder the terms:
2(-7 + 3x) + 6(x + -4) = -3(4 + -5x) + 5x + -12
(-7 * 2 + 3x * 2) + 6(x + -4) = -3(4 + -5x) + 5x + -12
(-14 + 6x) + 6(x + -4) = -3(4 + -5x) + 5x + -12

Reorder the terms:
-14 + 6x + 6(-4 + x) = -3(4 + -5x) + 5x + -12
-14 + 6x + (-4 * 6 + x * 6) = -3(4 + -5x) + 5x + -12
-14 + 6x + (-24 + 6x) = -3(4 + -5x) + 5x + -12

Reorder the terms:
-14 + -24 + 6x + 6x = -3(4 + -5x) + 5x + -12

Combine like terms: -14 + -24 = -38
-38 + 6x + 6x = -3(4 + -5x) + 5x + -12

Combine like terms: 6x + 6x = 12x
-38 + 12x = -3(4 + -5x) + 5x + -12
-38 + 12x = (4 * -3 + -5x * -3) + 5x + -12
-38 + 12x = (-12 + 15x) + 5x + -12

Reorder the terms:
-38 + 12x = -12 + -12 + 15x + 5x

Combine like terms: -12 + -12 = -24
-38 + 12x = -24 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-38 + 12x = -24 + 20x

Solving
-38 + 12x = -24 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-38 + 12x + -20x = -24 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-38 + -8x = -24 + 20x + -20x

Combine like terms: 20x + -20x = 0
-38 + -8x = -24 + 0
-38 + -8x = -24

Add '38' to each side of the equation.
-38 + 38 + -8x = -24 + 38

Combine like terms: -38 + 38 = 0
0 + -8x = -24 + 38
-8x = -24 + 38

Combine like terms: -24 + 38 = 14
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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