-5(2x-6)=5(x+11)

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Solution for -5(2x-6)=5(x+11) equation:


Simplifying
-5(2x + -6) = 5(x + 11)

Reorder the terms:
-5(-6 + 2x) = 5(x + 11)
(-6 * -5 + 2x * -5) = 5(x + 11)
(30 + -10x) = 5(x + 11)

Reorder the terms:
30 + -10x = 5(11 + x)
30 + -10x = (11 * 5 + x * 5)
30 + -10x = (55 + 5x)

Solving
30 + -10x = 55 + 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.
30 + -10x + -5x = 55 + 5x + -5x

Combine like terms: -10x + -5x = -15x
30 + -15x = 55 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -15x = 55 + 0
30 + -15x = 55

Add '-30' to each side of the equation.
30 + -30 + -15x = 55 + -30

Combine like terms: 30 + -30 = 0
0 + -15x = 55 + -30
-15x = 55 + -30

Combine like terms: 55 + -30 = 25
-15x = 25

Divide each side by '-15'.
x = -1.666666667

Simplifying
x = -1.666666667

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