2x-5x+7=-x-21

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Solution for 2x-5x+7=-x-21 equation:


Simplifying
2x + -5x + 7 = -1x + -21

Reorder the terms:
7 + 2x + -5x = -1x + -21

Combine like terms: 2x + -5x = -3x
7 + -3x = -1x + -21

Reorder the terms:
7 + -3x = -21 + -1x

Solving
7 + -3x = -21 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + -3x + x = -21 + -1x + x

Combine like terms: -3x + x = -2x
7 + -2x = -21 + -1x + x

Combine like terms: -1x + x = 0
7 + -2x = -21 + 0
7 + -2x = -21

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

Combine like terms: 7 + -7 = 0
0 + -2x = -21 + -7
-2x = -21 + -7

Combine like terms: -21 + -7 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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