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

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


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

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

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

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

Reorder the terms:
2x = -3(2 + x) + x
2x = (2 * -3 + x * -3) + x
2x = (-6 + -3x) + x

Combine like terms: -3x + x = -2x
2x = -6 + -2x

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

Combine like terms: 2x + 2x = 4x
4x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
4x = -6 + 0
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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