6(x+6)=2x-5

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


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

Reorder the terms:
6(6 + x) = 2x + -5
(6 * 6 + x * 6) = 2x + -5
(36 + 6x) = 2x + -5

Reorder the terms:
36 + 6x = -5 + 2x

Solving
36 + 6x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
36 + 6x + -2x = -5 + 2x + -2x

Combine like terms: 6x + -2x = 4x
36 + 4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 4x = -5 + 0
36 + 4x = -5

Add '-36' to each side of the equation.
36 + -36 + 4x = -5 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = -5 + -36
4x = -5 + -36

Combine like terms: -5 + -36 = -41
4x = -41

Divide each side by '4'.
x = -10.25

Simplifying
x = -10.25

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