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

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


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

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

Combine like terms: 3x + x = 4x
-3 + 4x = 2(x + -1)

Reorder the terms:
-3 + 4x = 2(-1 + x)
-3 + 4x = (-1 * 2 + x * 2)
-3 + 4x = (-2 + 2x)

Solving
-3 + 4x = -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.
-3 + 4x + -2x = -2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = -2 + 2x + -2x

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

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

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

Combine like terms: -2 + 3 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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