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

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


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

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

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

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

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

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

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

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

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

Combine like terms: -3x + 3x = 0
-8 + 2x = 0

Add '8' to each side of the equation.
-8 + 8 + 2x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 0 + 8
2x = 0 + 8

Combine like terms: 0 + 8 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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