-x+5=7x+21

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


Simplifying
-1x + 5 = 7x + 21

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

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

Solving
5 + -1x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + -1x + -7x = 21 + 7x + -7x

Combine like terms: -1x + -7x = -8x
5 + -8x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -8x = 21 + 0
5 + -8x = 21

Add '-5' to each side of the equation.
5 + -5 + -8x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 21 + -5
-8x = 21 + -5

Combine like terms: 21 + -5 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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