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

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


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

Reorder the terms:
10 = -2(2 + x) + 3(x + -10)
10 = (2 * -2 + x * -2) + 3(x + -10)
10 = (-4 + -2x) + 3(x + -10)

Reorder the terms:
10 = -4 + -2x + 3(-10 + x)
10 = -4 + -2x + (-10 * 3 + x * 3)
10 = -4 + -2x + (-30 + 3x)

Reorder the terms:
10 = -4 + -30 + -2x + 3x

Combine like terms: -4 + -30 = -34
10 = -34 + -2x + 3x

Combine like terms: -2x + 3x = 1x
10 = -34 + 1x

Solving
10 = -34 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -1x = -34 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + -1x = -34 + 0
10 + -1x = -34

Add '-10' to each side of the equation.
10 + -10 + -1x = -34 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -34 + -10
-1x = -34 + -10

Combine like terms: -34 + -10 = -44
-1x = -44

Divide each side by '-1'.
x = 44

Simplifying
x = 44

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