-6(3x-1)+4x=-2(x+5)

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Solution for -6(3x-1)+4x=-2(x+5) equation:


Simplifying
-6(3x + -1) + 4x = -2(x + 5)

Reorder the terms:
-6(-1 + 3x) + 4x = -2(x + 5)
(-1 * -6 + 3x * -6) + 4x = -2(x + 5)
(6 + -18x) + 4x = -2(x + 5)

Combine like terms: -18x + 4x = -14x
6 + -14x = -2(x + 5)

Reorder the terms:
6 + -14x = -2(5 + x)
6 + -14x = (5 * -2 + x * -2)
6 + -14x = (-10 + -2x)

Solving
6 + -14x = -10 + -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.
6 + -14x + 2x = -10 + -2x + 2x

Combine like terms: -14x + 2x = -12x
6 + -12x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -12x = -10 + 0
6 + -12x = -10

Add '-6' to each side of the equation.
6 + -6 + -12x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = -10 + -6
-12x = -10 + -6

Combine like terms: -10 + -6 = -16
-12x = -16

Divide each side by '-12'.
x = 1.333333333

Simplifying
x = 1.333333333

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