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

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


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

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

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

Reorder the terms:
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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