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

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Solution for 2(x+5)+8=21-x equation:


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

Reorder the terms:
2(5 + x) + 8 = 21 + -1x
(5 * 2 + x * 2) + 8 = 21 + -1x
(10 + 2x) + 8 = 21 + -1x

Reorder the terms:
10 + 8 + 2x = 21 + -1x

Combine like terms: 10 + 8 = 18
18 + 2x = 21 + -1x

Solving
18 + 2x = 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.
18 + 2x + x = 21 + -1x + x

Combine like terms: 2x + x = 3x
18 + 3x = 21 + -1x + x

Combine like terms: -1x + x = 0
18 + 3x = 21 + 0
18 + 3x = 21

Add '-18' to each side of the equation.
18 + -18 + 3x = 21 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 21 + -18
3x = 21 + -18

Combine like terms: 21 + -18 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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