2x-4=2x-7-x

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Solution for 2x-4=2x-7-x equation:


Simplifying
2x + -4 = 2x + -7 + -1x

Reorder the terms:
-4 + 2x = 2x + -7 + -1x

Reorder the terms:
-4 + 2x = -7 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 2x = -7 + 1x

Solving
-4 + 2x = -7 + 1x

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.
-4 + 2x + -1x = -7 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4 + 1x = -7 + 0
-4 + 1x = -7

Add '4' to each side of the equation.
-4 + 4 + 1x = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -7 + 4
1x = -7 + 4

Combine like terms: -7 + 4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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