-x-(x-21)=5x+7

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Solution for -x-(x-21)=5x+7 equation:


Simplifying
-1x + -1(x + -21) = 5x + 7

Reorder the terms:
-1x + -1(-21 + x) = 5x + 7
-1x + (-21 * -1 + x * -1) = 5x + 7
-1x + (21 + -1x) = 5x + 7

Reorder the terms:
21 + -1x + -1x = 5x + 7

Combine like terms: -1x + -1x = -2x
21 + -2x = 5x + 7

Reorder the terms:
21 + -2x = 7 + 5x

Solving
21 + -2x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
21 + -2x + -5x = 7 + 5x + -5x

Combine like terms: -2x + -5x = -7x
21 + -7x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -7x = 7 + 0
21 + -7x = 7

Add '-21' to each side of the equation.
21 + -21 + -7x = 7 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = 7 + -21
-7x = 7 + -21

Combine like terms: 7 + -21 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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