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

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Solution for 20-(x+5)=6x-6 equation:


Simplifying
20 + -1(x + 5) = 6x + -6

Reorder the terms:
20 + -1(5 + x) = 6x + -6
20 + (5 * -1 + x * -1) = 6x + -6
20 + (-5 + -1x) = 6x + -6

Combine like terms: 20 + -5 = 15
15 + -1x = 6x + -6

Reorder the terms:
15 + -1x = -6 + 6x

Solving
15 + -1x = -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 + -1x + -6x = -6 + 6x + -6x

Combine like terms: -1x + -6x = -7x
15 + -7x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -7x = -6 + 0
15 + -7x = -6

Add '-15' to each side of the equation.
15 + -15 + -7x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -6 + -15
-7x = -6 + -15

Combine like terms: -6 + -15 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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