5(x+6)=6x-2

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


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

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

Reorder the terms:
30 + 5x = -2 + 6x

Solving
30 + 5x = -2 + 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.
30 + 5x + -6x = -2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
30 + -1x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -1x = -2 + 0
30 + -1x = -2

Add '-30' to each side of the equation.
30 + -30 + -1x = -2 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = -2 + -30
-1x = -2 + -30

Combine like terms: -2 + -30 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32

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