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

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Solution for 6(x-1)+3=3x-2(1-x) equation:


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

Reorder the terms:
6(-1 + x) + 3 = 3x + -2(1 + -1x)
(-1 * 6 + x * 6) + 3 = 3x + -2(1 + -1x)
(-6 + 6x) + 3 = 3x + -2(1 + -1x)

Reorder the terms:
-6 + 3 + 6x = 3x + -2(1 + -1x)

Combine like terms: -6 + 3 = -3
-3 + 6x = 3x + -2(1 + -1x)
-3 + 6x = 3x + (1 * -2 + -1x * -2)
-3 + 6x = 3x + (-2 + 2x)

Reorder the terms:
-3 + 6x = -2 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-3 + 6x = -2 + 5x

Solving
-3 + 6x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 6x + -5x = -2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-3 + 1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 1x = -2 + 0
-3 + 1x = -2

Add '3' to each side of the equation.
-3 + 3 + 1x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -2 + 3
1x = -2 + 3

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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