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

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


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

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

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

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

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

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

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

Combine like terms: 5x + -5x = 0
3 + -2x = -11 + 0
3 + -2x = -11

Add '-3' to each side of the equation.
3 + -3 + -2x = -11 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -11 + -3
-2x = -11 + -3

Combine like terms: -11 + -3 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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