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

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


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

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

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

Reorder the terms:
-20 + 12x = -16 + -6 + -2x

Combine like terms: -16 + -6 = -22
-20 + 12x = -22 + -2x

Solving
-20 + 12x = -22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 12x + 2x = -22 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-20 + 14x = -22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 14x = -22 + 0
-20 + 14x = -22

Add '20' to each side of the equation.
-20 + 20 + 14x = -22 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = -22 + 20
14x = -22 + 20

Combine like terms: -22 + 20 = -2
14x = -2

Divide each side by '14'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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