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

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


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

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

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

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

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

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

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

Combine like terms: 2x + 3x = 5x
-6 + 5x = x

Solving
-6 + 5x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-6 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
-6 + 4x = x + -1x

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 0 + 6

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

Combine like terms: 0 + 6 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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