13x-(5x-2x)=5(3x+-1)

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Solution for 13x-(5x-2x)=5(3x+-1) equation:


Simplifying
13x + -1(5x + -2x) = 5(3x + -1)

Combine like terms: 5x + -2x = 3x
13x + -1(3x) = 5(3x + -1)

Remove parenthesis around (3x)
13x + -1 * 3x = 5(3x + -1)

Multiply -1 * 3
13x + -3x = 5(3x + -1)

Combine like terms: 13x + -3x = 10x
10x = 5(3x + -1)

Reorder the terms:
10x = 5(-1 + 3x)
10x = (-1 * 5 + 3x * 5)
10x = (-5 + 15x)

Solving
10x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
10x + -15x = -5 + 15x + -15x

Combine like terms: 10x + -15x = -5x
-5x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-5x = -5 + 0
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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