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

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


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

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

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

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

Combine like terms: -2 + -6 = -8
-8 + 2x + -3x = 3x + 4

Combine like terms: 2x + -3x = -1x
-8 + -1x = 3x + 4

Reorder the terms:
-8 + -1x = 4 + 3x

Solving
-8 + -1x = 4 + 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.
-8 + -1x + -3x = 4 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-8 + -4x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -4x = 4 + 0
-8 + -4x = 4

Add '8' to each side of the equation.
-8 + 8 + -4x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 4 + 8
-4x = 4 + 8

Combine like terms: 4 + 8 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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