-3(2x-6)=8(5+2x)

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Solution for -3(2x-6)=8(5+2x) equation:


Simplifying
-3(2x + -6) = 8(5 + 2x)

Reorder the terms:
-3(-6 + 2x) = 8(5 + 2x)
(-6 * -3 + 2x * -3) = 8(5 + 2x)
(18 + -6x) = 8(5 + 2x)
18 + -6x = (5 * 8 + 2x * 8)
18 + -6x = (40 + 16x)

Solving
18 + -6x = 40 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
18 + -6x + -16x = 40 + 16x + -16x

Combine like terms: -6x + -16x = -22x
18 + -22x = 40 + 16x + -16x

Combine like terms: 16x + -16x = 0
18 + -22x = 40 + 0
18 + -22x = 40

Add '-18' to each side of the equation.
18 + -18 + -22x = 40 + -18

Combine like terms: 18 + -18 = 0
0 + -22x = 40 + -18
-22x = 40 + -18

Combine like terms: 40 + -18 = 22
-22x = 22

Divide each side by '-22'.
x = -1

Simplifying
x = -1

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