3x-8=-2(x-1)

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Solution for 3x-8=-2(x-1) equation:


Simplifying
3x + -8 = -2(x + -1)

Reorder the terms:
-8 + 3x = -2(x + -1)

Reorder the terms:
-8 + 3x = -2(-1 + x)
-8 + 3x = (-1 * -2 + x * -2)
-8 + 3x = (2 + -2x)

Solving
-8 + 3x = 2 + -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.
-8 + 3x + 2x = 2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-8 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 5x = 2 + 0
-8 + 5x = 2

Add '8' to each side of the equation.
-8 + 8 + 5x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 2 + 8
5x = 2 + 8

Combine like terms: 2 + 8 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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