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

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


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

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

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

Solving
30 + 6x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
30 + 6x + 8x = 2 + -8x + 8x

Combine like terms: 6x + 8x = 14x
30 + 14x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
30 + 14x = 2 + 0
30 + 14x = 2

Add '-30' to each side of the equation.
30 + -30 + 14x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 14x = 2 + -30
14x = 2 + -30

Combine like terms: 2 + -30 = -28
14x = -28

Divide each side by '14'.
x = -2

Simplifying
x = -2

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