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

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


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

Reorder the terms:
-6(-5 + x) + -8 = 2(x + 3)
(-5 * -6 + x * -6) + -8 = 2(x + 3)
(30 + -6x) + -8 = 2(x + 3)

Reorder the terms:
30 + -8 + -6x = 2(x + 3)

Combine like terms: 30 + -8 = 22
22 + -6x = 2(x + 3)

Reorder the terms:
22 + -6x = 2(3 + x)
22 + -6x = (3 * 2 + x * 2)
22 + -6x = (6 + 2x)

Solving
22 + -6x = 6 + 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.
22 + -6x + -2x = 6 + 2x + -2x

Combine like terms: -6x + -2x = -8x
22 + -8x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -8x = 6 + 0
22 + -8x = 6

Add '-22' to each side of the equation.
22 + -22 + -8x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = 6 + -22
-8x = 6 + -22

Combine like terms: 6 + -22 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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