21-(x+8)=6(3-x)

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Solution for 21-(x+8)=6(3-x) equation:


Simplifying
21 + -1(x + 8) = 6(3 + -1x)

Reorder the terms:
21 + -1(8 + x) = 6(3 + -1x)
21 + (8 * -1 + x * -1) = 6(3 + -1x)
21 + (-8 + -1x) = 6(3 + -1x)

Combine like terms: 21 + -8 = 13
13 + -1x = 6(3 + -1x)
13 + -1x = (3 * 6 + -1x * 6)
13 + -1x = (18 + -6x)

Solving
13 + -1x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
13 + -1x + 6x = 18 + -6x + 6x

Combine like terms: -1x + 6x = 5x
13 + 5x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
13 + 5x = 18 + 0
13 + 5x = 18

Add '-13' to each side of the equation.
13 + -13 + 5x = 18 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 18 + -13
5x = 18 + -13

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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