6(x+7)=-2(x+-25)

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Solution for 6(x+7)=-2(x+-25) equation: 


Simplifying
6(x + 7) = -2(x + -25)

Reorder the terms:
6(7 + x) = -2(x + -25)
(7 * 6 + x * 6) = -2(x + -25)
(42 + 6x) = -2(x + -25)

Reorder the terms:
42 + 6x = -2(-25 + x)
42 + 6x = (-25 * -2 + x * -2)
42 + 6x = (50 + -2x)

Solving
42 + 6x = 50 + -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.
42 + 6x + 2x = 50 + -2x + 2x

Combine like terms: 6x + 2x = 8x
42 + 8x = 50 + -2x + 2x

Combine like terms: -2x + 2x = 0
42 + 8x = 50 + 0
42 + 8x = 50

Add '-42' to each side of the equation.
42 + -42 + 8x = 50 + -42

Combine like terms: 42 + -42 = 0
0 + 8x = 50 + -42
8x = 50 + -42

Combine like terms: 50 + -42 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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