3x-8=-2(4x-2)

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


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

Reorder the terms:
-8 + 3x = -2(4x + -2)

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

Solving
-8 + 3x = 4 + -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.
-8 + 3x + 8x = 4 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-8 + 11x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 11x = 4 + 0
-8 + 11x = 4

Add '8' to each side of the equation.
-8 + 8 + 11x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = 4 + 8
11x = 4 + 8

Combine like terms: 4 + 8 = 12
11x = 12

Divide each side by '11'.
x = 1.090909091

Simplifying
x = 1.090909091

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