3(x-8)-4=-6(-3x+2)-5x

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Solution for 3(x-8)-4=-6(-3x+2)-5x equation:


Simplifying
3(x + -8) + -4 = -6(-3x + 2) + -5x

Reorder the terms:
3(-8 + x) + -4 = -6(-3x + 2) + -5x
(-8 * 3 + x * 3) + -4 = -6(-3x + 2) + -5x
(-24 + 3x) + -4 = -6(-3x + 2) + -5x

Reorder the terms:
-24 + -4 + 3x = -6(-3x + 2) + -5x

Combine like terms: -24 + -4 = -28
-28 + 3x = -6(-3x + 2) + -5x

Reorder the terms:
-28 + 3x = -6(2 + -3x) + -5x
-28 + 3x = (2 * -6 + -3x * -6) + -5x
-28 + 3x = (-12 + 18x) + -5x

Combine like terms: 18x + -5x = 13x
-28 + 3x = -12 + 13x

Solving
-28 + 3x = -12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-28 + 3x + -13x = -12 + 13x + -13x

Combine like terms: 3x + -13x = -10x
-28 + -10x = -12 + 13x + -13x

Combine like terms: 13x + -13x = 0
-28 + -10x = -12 + 0
-28 + -10x = -12

Add '28' to each side of the equation.
-28 + 28 + -10x = -12 + 28

Combine like terms: -28 + 28 = 0
0 + -10x = -12 + 28
-10x = -12 + 28

Combine like terms: -12 + 28 = 16
-10x = 16

Divide each side by '-10'.
x = -1.6

Simplifying
x = -1.6

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