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

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


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

Reorder the terms:
-2(-1 + 6x) + 5x = 5(x + 2)
(-1 * -2 + 6x * -2) + 5x = 5(x + 2)
(2 + -12x) + 5x = 5(x + 2)

Combine like terms: -12x + 5x = -7x
2 + -7x = 5(x + 2)

Reorder the terms:
2 + -7x = 5(2 + x)
2 + -7x = (2 * 5 + x * 5)
2 + -7x = (10 + 5x)

Solving
2 + -7x = 10 + 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.
2 + -7x + -5x = 10 + 5x + -5x

Combine like terms: -7x + -5x = -12x
2 + -12x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -12x = 10 + 0
2 + -12x = 10

Add '-2' to each side of the equation.
2 + -2 + -12x = 10 + -2

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

Combine like terms: 10 + -2 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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