7-(2x+5)=4x-8-x

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Solution for 7-(2x+5)=4x-8-x equation:


Simplifying
7 + -1(2x + 5) = 4x + -8 + -1x

Reorder the terms:
7 + -1(5 + 2x) = 4x + -8 + -1x
7 + (5 * -1 + 2x * -1) = 4x + -8 + -1x
7 + (-5 + -2x) = 4x + -8 + -1x

Combine like terms: 7 + -5 = 2
2 + -2x = 4x + -8 + -1x

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

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

Solving
2 + -2x = -8 + 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.
2 + -2x + -3x = -8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
2 + -5x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -5x = -8 + 0
2 + -5x = -8

Add '-2' to each side of the equation.
2 + -2 + -5x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -8 + -2
-5x = -8 + -2

Combine like terms: -8 + -2 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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