6(x+5)=2x-8

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Solution for 6(x+5)=2x-8 equation:


Simplifying
6(x + 5) = 2x + -8

Reorder the terms:
6(5 + x) = 2x + -8
(5 * 6 + x * 6) = 2x + -8
(30 + 6x) = 2x + -8

Reorder the terms:
30 + 6x = -8 + 2x

Solving
30 + 6x = -8 + 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 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
30 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 4x = -8 + 0
30 + 4x = -8

Add '-30' to each side of the equation.
30 + -30 + 4x = -8 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = -8 + -30
4x = -8 + -30

Combine like terms: -8 + -30 = -38
4x = -38

Divide each side by '4'.
x = -9.5

Simplifying
x = -9.5

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