8(x+3)=2(x-36)

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Solution for 8(x+3)=2(x-36) equation:


Simplifying
8(x + 3) = 2(x + -36)

Reorder the terms:
8(3 + x) = 2(x + -36)
(3 * 8 + x * 8) = 2(x + -36)
(24 + 8x) = 2(x + -36)

Reorder the terms:
24 + 8x = 2(-36 + x)
24 + 8x = (-36 * 2 + x * 2)
24 + 8x = (-72 + 2x)

Solving
24 + 8x = -72 + 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.
24 + 8x + -2x = -72 + 2x + -2x

Combine like terms: 8x + -2x = 6x
24 + 6x = -72 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 6x = -72 + 0
24 + 6x = -72

Add '-24' to each side of the equation.
24 + -24 + 6x = -72 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = -72 + -24
6x = -72 + -24

Combine like terms: -72 + -24 = -96
6x = -96

Divide each side by '6'.
x = -16

Simplifying
x = -16

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