2(6x-5)+10=-(-3x+2)

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Solution for 2(6x-5)+10=-(-3x+2) equation:


Simplifying
2(6x + -5) + 10 = -1(-3x + 2)

Reorder the terms:
2(-5 + 6x) + 10 = -1(-3x + 2)
(-5 * 2 + 6x * 2) + 10 = -1(-3x + 2)
(-10 + 12x) + 10 = -1(-3x + 2)

Reorder the terms:
-10 + 10 + 12x = -1(-3x + 2)

Combine like terms: -10 + 10 = 0
0 + 12x = -1(-3x + 2)
12x = -1(-3x + 2)

Reorder the terms:
12x = -1(2 + -3x)
12x = (2 * -1 + -3x * -1)
12x = (-2 + 3x)

Solving
12x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12x + -3x = -2 + 3x + -3x

Combine like terms: 12x + -3x = 9x
9x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
9x = -2 + 0
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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