2(x-5)+10=-(-3x+12)

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Solution for 2(x-5)+10=-(-3x+12) equation:


Simplifying
2(x + -5) + 10 = -1(-3x + 12)

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

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

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

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

Solving
2x = -12 + 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.
2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1x = -12 + 0
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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