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

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


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

Reorder the terms:
6(6 + x) = -2(x + -25)
(6 * 6 + x * 6) = -2(x + -25)
(36 + 6x) = -2(x + -25)

Reorder the terms:
36 + 6x = -2(-25 + x)
36 + 6x = (-25 * -2 + x * -2)
36 + 6x = (50 + -2x)

Solving
36 + 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.
36 + 6x + 2x = 50 + -2x + 2x

Combine like terms: 6x + 2x = 8x
36 + 8x = 50 + -2x + 2x

Combine like terms: -2x + 2x = 0
36 + 8x = 50 + 0
36 + 8x = 50

Add '-36' to each side of the equation.
36 + -36 + 8x = 50 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = 50 + -36
8x = 50 + -36

Combine like terms: 50 + -36 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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