6(6x+5)=24-2x

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Solution for 6(6x+5)=24-2x equation:


Simplifying
6(6x + 5) = 24 + -2x

Reorder the terms:
6(5 + 6x) = 24 + -2x
(5 * 6 + 6x * 6) = 24 + -2x
(30 + 36x) = 24 + -2x

Solving
30 + 36x = 24 + -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.
30 + 36x + 2x = 24 + -2x + 2x

Combine like terms: 36x + 2x = 38x
30 + 38x = 24 + -2x + 2x

Combine like terms: -2x + 2x = 0
30 + 38x = 24 + 0
30 + 38x = 24

Add '-30' to each side of the equation.
30 + -30 + 38x = 24 + -30

Combine like terms: 30 + -30 = 0
0 + 38x = 24 + -30
38x = 24 + -30

Combine like terms: 24 + -30 = -6
38x = -6

Divide each side by '38'.
x = -0.1578947368

Simplifying
x = -0.1578947368

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