2x+4=7x+8-x

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Solution for 2x+4=7x+8-x equation:


Simplifying
2x + 4 = 7x + 8 + -1x

Reorder the terms:
4 + 2x = 7x + 8 + -1x

Reorder the terms:
4 + 2x = 8 + 7x + -1x

Combine like terms: 7x + -1x = 6x
4 + 2x = 8 + 6x

Solving
4 + 2x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 2x + -6x = 8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -4x = 8 + 0
4 + -4x = 8

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

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

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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