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

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


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

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

Reorder the terms:
-2 + 2x = 8 + -3x

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

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 2x + 3x = 8 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-2 + 5x = 8 + 0
-2 + 5x = 8

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

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

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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