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

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


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

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

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

Combine like terms: 6x + -2x = 4x
2 + 4x = 3x + 3

Reorder the terms:
2 + 4x = 3 + 3x

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

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

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

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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