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

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


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

Reorder the terms:
-6(-2 + x) = 8(x + 5)
(-2 * -6 + x * -6) = 8(x + 5)
(12 + -6x) = 8(x + 5)

Reorder the terms:
12 + -6x = 8(5 + x)
12 + -6x = (5 * 8 + x * 8)
12 + -6x = (40 + 8x)

Solving
12 + -6x = 40 + 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.
12 + -6x + -8x = 40 + 8x + -8x

Combine like terms: -6x + -8x = -14x
12 + -14x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -14x = 40 + 0
12 + -14x = 40

Add '-12' to each side of the equation.
12 + -12 + -14x = 40 + -12

Combine like terms: 12 + -12 = 0
0 + -14x = 40 + -12
-14x = 40 + -12

Combine like terms: 40 + -12 = 28
-14x = 28

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

Simplifying
x = -2

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