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

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


Simplifying
4(3x + -5) = -2(-1x + 8) + -6x

Reorder the terms:
4(-5 + 3x) = -2(-1x + 8) + -6x
(-5 * 4 + 3x * 4) = -2(-1x + 8) + -6x
(-20 + 12x) = -2(-1x + 8) + -6x

Reorder the terms:
-20 + 12x = -2(8 + -1x) + -6x
-20 + 12x = (8 * -2 + -1x * -2) + -6x
-20 + 12x = (-16 + 2x) + -6x

Combine like terms: 2x + -6x = -4x
-20 + 12x = -16 + -4x

Solving
-20 + 12x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-20 + 12x + 4x = -16 + -4x + 4x

Combine like terms: 12x + 4x = 16x
-20 + 16x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 16x = -16 + 0
-20 + 16x = -16

Add '20' to each side of the equation.
-20 + 20 + 16x = -16 + 20

Combine like terms: -20 + 20 = 0
0 + 16x = -16 + 20
16x = -16 + 20

Combine like terms: -16 + 20 = 4
16x = 4

Divide each side by '16'.
x = 0.25

Simplifying
x = 0.25

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