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

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


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

Reorder the terms:
-3(3 + -1x) + -5x + 2 = x + -10
(3 * -3 + -1x * -3) + -5x + 2 = x + -10
(-9 + 3x) + -5x + 2 = x + -10

Reorder the terms:
-9 + 2 + 3x + -5x = x + -10

Combine like terms: -9 + 2 = -7
-7 + 3x + -5x = x + -10

Combine like terms: 3x + -5x = -2x
-7 + -2x = x + -10

Reorder the terms:
-7 + -2x = -10 + x

Solving
-7 + -2x = -10 + x

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.
-7 + -2x + -1x = -10 + x + -1x

Combine like terms: -2x + -1x = -3x
-7 + -3x = -10 + x + -1x

Combine like terms: x + -1x = 0
-7 + -3x = -10 + 0
-7 + -3x = -10

Add '7' to each side of the equation.
-7 + 7 + -3x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -10 + 7
-3x = -10 + 7

Combine like terms: -10 + 7 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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