-6(x-3)-2x=-5(x-1)

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Solution for -6(x-3)-2x=-5(x-1) equation:


Simplifying
-6(x + -3) + -2x = -5(x + -1)

Reorder the terms:
-6(-3 + x) + -2x = -5(x + -1)
(-3 * -6 + x * -6) + -2x = -5(x + -1)
(18 + -6x) + -2x = -5(x + -1)

Combine like terms: -6x + -2x = -8x
18 + -8x = -5(x + -1)

Reorder the terms:
18 + -8x = -5(-1 + x)
18 + -8x = (-1 * -5 + x * -5)
18 + -8x = (5 + -5x)

Solving
18 + -8x = 5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
18 + -8x + 5x = 5 + -5x + 5x

Combine like terms: -8x + 5x = -3x
18 + -3x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + -3x = 5 + 0
18 + -3x = 5

Add '-18' to each side of the equation.
18 + -18 + -3x = 5 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 5 + -18
-3x = 5 + -18

Combine like terms: 5 + -18 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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