18+(3x+5)=5(x-1)-6

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Solution for 18+(3x+5)=5(x-1)-6 equation:


Simplifying
18 + (3x + 5) = 5(x + -1) + -6

Reorder the terms:
18 + (5 + 3x) = 5(x + -1) + -6

Remove parenthesis around (5 + 3x)
18 + 5 + 3x = 5(x + -1) + -6

Combine like terms: 18 + 5 = 23
23 + 3x = 5(x + -1) + -6

Reorder the terms:
23 + 3x = 5(-1 + x) + -6
23 + 3x = (-1 * 5 + x * 5) + -6
23 + 3x = (-5 + 5x) + -6

Reorder the terms:
23 + 3x = -5 + -6 + 5x

Combine like terms: -5 + -6 = -11
23 + 3x = -11 + 5x

Solving
23 + 3x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
23 + 3x + -5x = -11 + 5x + -5x

Combine like terms: 3x + -5x = -2x
23 + -2x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
23 + -2x = -11 + 0
23 + -2x = -11

Add '-23' to each side of the equation.
23 + -23 + -2x = -11 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = -11 + -23
-2x = -11 + -23

Combine like terms: -11 + -23 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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