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

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Solution for 10-(-2x+5)=-3(-3x-1)-5x equation:


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

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

Combine like terms: 10 + -5 = 5
5 + 2x = -3(-3x + -1) + -5x

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

Combine like terms: 9x + -5x = 4x
5 + 2x = 3 + 4x

Solving
5 + 2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 2x + -4x = 3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
5 + -2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -2x = 3 + 0
5 + -2x = 3

Add '-5' to each side of the equation.
5 + -5 + -2x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 3 + -5
-2x = 3 + -5

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

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

Simplifying
x = 1

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