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

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


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

Reorder the terms:
x + -5(-3 + x) = 6x + 6
x + (-3 * -5 + x * -5) = 6x + 6
x + (15 + -5x) = 6x + 6

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

Combine like terms: x + -5x = -4x
15 + -4x = 6x + 6

Reorder the terms:
15 + -4x = 6 + 6x

Solving
15 + -4x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + -4x + -6x = 6 + 6x + -6x

Combine like terms: -4x + -6x = -10x
15 + -10x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -10x = 6 + 0
15 + -10x = 6

Add '-15' to each side of the equation.
15 + -15 + -10x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = 6 + -15
-10x = 6 + -15

Combine like terms: 6 + -15 = -9
-10x = -9

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9

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