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

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


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

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

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

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

Remove parenthesis around (-4 + x)
-2 + 2x = 6 + 3x + -4 + x

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

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

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

Solving
-2 + 2x = 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.
-2 + 2x + -4x = 2 + 4x + -4x

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

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

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

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

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

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

Simplifying
x = -2

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