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

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


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

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

Reorder the terms:
-8 + 4x = -2(6 + 5x)
-8 + 4x = (6 * -2 + 5x * -2)
-8 + 4x = (-12 + -10x)

Solving
-8 + 4x = -12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-8 + 4x + 10x = -12 + -10x + 10x

Combine like terms: 4x + 10x = 14x
-8 + 14x = -12 + -10x + 10x

Combine like terms: -10x + 10x = 0
-8 + 14x = -12 + 0
-8 + 14x = -12

Add '8' to each side of the equation.
-8 + 8 + 14x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 14x = -12 + 8
14x = -12 + 8

Combine like terms: -12 + 8 = -4
14x = -4

Divide each side by '14'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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