21-(x+8)=7x-3

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Solution for 21-(x+8)=7x-3 equation:


Simplifying
21 + -1(x + 8) = 7x + -3

Reorder the terms:
21 + -1(8 + x) = 7x + -3
21 + (8 * -1 + x * -1) = 7x + -3
21 + (-8 + -1x) = 7x + -3

Combine like terms: 21 + -8 = 13
13 + -1x = 7x + -3

Reorder the terms:
13 + -1x = -3 + 7x

Solving
13 + -1x = -3 + 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.
13 + -1x + -7x = -3 + 7x + -7x

Combine like terms: -1x + -7x = -8x
13 + -8x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -8x = -3 + 0
13 + -8x = -3

Add '-13' to each side of the equation.
13 + -13 + -8x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -8x = -3 + -13
-8x = -3 + -13

Combine like terms: -3 + -13 = -16
-8x = -16

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

Simplifying
x = 2

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