21-(x+8)=8x-5

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Solution for 21-(x+8)=8x-5 equation:


Simplifying
21 + -1(x + 8) = 8x + -5

Reorder the terms:
21 + -1(8 + x) = 8x + -5
21 + (8 * -1 + x * -1) = 8x + -5
21 + (-8 + -1x) = 8x + -5

Combine like terms: 21 + -8 = 13
13 + -1x = 8x + -5

Reorder the terms:
13 + -1x = -5 + 8x

Solving
13 + -1x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
13 + -1x + -8x = -5 + 8x + -8x

Combine like terms: -1x + -8x = -9x
13 + -9x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -9x = -5 + 0
13 + -9x = -5

Add '-13' to each side of the equation.
13 + -13 + -9x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = -5 + -13
-9x = -5 + -13

Combine like terms: -5 + -13 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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