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

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


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

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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
-1x = -2 + 0
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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