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(x + 8) + -6x

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

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

Combine like terms: -2x + -6x = -8x
-20 + 12x = -16 + -8x

Solving
-20 + 12x = -16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-20 + 12x + 8x = -16 + -8x + 8x

Combine like terms: 12x + 8x = 20x
-20 + 20x = -16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-20 + 20x = -16 + 0
-20 + 20x = -16

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

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

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

Divide each side by '20'.
x = 0.2

Simplifying
x = 0.2

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