2(x-3)+4=3(x+2)-6

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Solution for 2(x-3)+4=3(x+2)-6 equation: 


Simplifying
2(x + -3) + 4 = 3(x + 2) + -6

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

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

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

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

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

Combine like terms: 6 + -6 = 0
-2 + 2x = 0 + 3x
-2 + 2x = 3x

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

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

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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