(2x+8)-(x-10)=11

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Solution for (2x+8)-(x-10)=11 equation:


Simplifying
(2x + 8) + -1(x + -10) = 11

Reorder the terms:
(8 + 2x) + -1(x + -10) = 11

Remove parenthesis around (8 + 2x)
8 + 2x + -1(x + -10) = 11

Reorder the terms:
8 + 2x + -1(-10 + x) = 11
8 + 2x + (-10 * -1 + x * -1) = 11
8 + 2x + (10 + -1x) = 11

Reorder the terms:
8 + 10 + 2x + -1x = 11

Combine like terms: 8 + 10 = 18
18 + 2x + -1x = 11

Combine like terms: 2x + -1x = 1x
18 + 1x = 11

Solving
18 + 1x = 11

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 1x = 11 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 11 + -18
1x = 11 + -18

Combine like terms: 11 + -18 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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