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

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


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

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

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

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

Reorder the terms:
-1 + 3x = 2(3 + 2x) + -6
-1 + 3x = (3 * 2 + 2x * 2) + -6
-1 + 3x = (6 + 4x) + -6

Reorder the terms:
-1 + 3x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
-1 + 3x = 0 + 4x
-1 + 3x = 4x

Solving
-1 + 3x = 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 = 4x + -4x

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

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1

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