3(x-1)+4=2x+2+2x

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Solution for 3(x-1)+4=2x+2+2x equation:


Simplifying
3(x + -1) + 4 = 2x + 2 + 2x

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

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

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

Reorder the terms:
1 + 3x = 2 + 2x + 2x

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

Solving
1 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 3x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
1 + -1x = 2 + 0
1 + -1x = 2

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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