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

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


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

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

Combine like terms: 18 + -5 = 13
13 + -3x = 5(x + -1) + -6

Reorder the terms:
13 + -3x = 5(-1 + x) + -6
13 + -3x = (-1 * 5 + x * 5) + -6
13 + -3x = (-5 + 5x) + -6

Reorder the terms:
13 + -3x = -5 + -6 + 5x

Combine like terms: -5 + -6 = -11
13 + -3x = -11 + 5x

Solving
13 + -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.
13 + -3x + -5x = -11 + 5x + -5x

Combine like terms: -3x + -5x = -8x
13 + -8x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -8x = -11 + 0
13 + -8x = -11

Add '-13' to each side of the equation.
13 + -13 + -8x = -11 + -13

Combine like terms: 13 + -13 = 0
0 + -8x = -11 + -13
-8x = -11 + -13

Combine like terms: -11 + -13 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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