5-(3x-5)=-6(2x-5)-x

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Solution for 5-(3x-5)=-6(2x-5)-x equation:


Simplifying
5 + -1(3x + -5) = -6(2x + -5) + -1x

Reorder the terms:
5 + -1(-5 + 3x) = -6(2x + -5) + -1x
5 + (-5 * -1 + 3x * -1) = -6(2x + -5) + -1x
5 + (5 + -3x) = -6(2x + -5) + -1x

Combine like terms: 5 + 5 = 10
10 + -3x = -6(2x + -5) + -1x

Reorder the terms:
10 + -3x = -6(-5 + 2x) + -1x
10 + -3x = (-5 * -6 + 2x * -6) + -1x
10 + -3x = (30 + -12x) + -1x

Combine like terms: -12x + -1x = -13x
10 + -3x = 30 + -13x

Solving
10 + -3x = 30 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
10 + -3x + 13x = 30 + -13x + 13x

Combine like terms: -3x + 13x = 10x
10 + 10x = 30 + -13x + 13x

Combine like terms: -13x + 13x = 0
10 + 10x = 30 + 0
10 + 10x = 30

Add '-10' to each side of the equation.
10 + -10 + 10x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 30 + -10
10x = 30 + -10

Combine like terms: 30 + -10 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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