5(x+2)-13=6x-2(3x-1)

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Solution for 5(x+2)-13=6x-2(3x-1) equation:


Simplifying
5(x + 2) + -13 = 6x + -2(3x + -1)

Reorder the terms:
5(2 + x) + -13 = 6x + -2(3x + -1)
(2 * 5 + x * 5) + -13 = 6x + -2(3x + -1)
(10 + 5x) + -13 = 6x + -2(3x + -1)

Reorder the terms:
10 + -13 + 5x = 6x + -2(3x + -1)

Combine like terms: 10 + -13 = -3
-3 + 5x = 6x + -2(3x + -1)

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

Reorder the terms:
-3 + 5x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 5x = 2 + 0
-3 + 5x = 2

Solving
-3 + 5x = 2

Solving for variable 'x'.

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

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

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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