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 = 1x
-8 + 1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 1x = -2 + 0
-8 + 1x = -2

Add '8' to each side of the equation.
-8 + 8 + 1x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -2 + 8
1x = -2 + 8

Combine like terms: -2 + 8 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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