(5x+11)-(2x-12)=-18

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Solution for (5x+11)-(2x-12)=-18 equation:


Simplifying
(5x + 11) + -1(2x + -12) = -18

Reorder the terms:
(11 + 5x) + -1(2x + -12) = -18

Remove parenthesis around (11 + 5x)
11 + 5x + -1(2x + -12) = -18

Reorder the terms:
11 + 5x + -1(-12 + 2x) = -18
11 + 5x + (-12 * -1 + 2x * -1) = -18
11 + 5x + (12 + -2x) = -18

Reorder the terms:
11 + 12 + 5x + -2x = -18

Combine like terms: 11 + 12 = 23
23 + 5x + -2x = -18

Combine like terms: 5x + -2x = 3x
23 + 3x = -18

Solving
23 + 3x = -18

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 3x = -18 + -23

Combine like terms: 23 + -23 = 0
0 + 3x = -18 + -23
3x = -18 + -23

Combine like terms: -18 + -23 = -41
3x = -41

Divide each side by '3'.
x = -13.66666667

Simplifying
x = -13.66666667

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