3(5x+2)-26=13x-2

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Solution for 3(5x+2)-26=13x-2 equation:


Simplifying
3(5x + 2) + -26 = 13x + -2

Reorder the terms:
3(2 + 5x) + -26 = 13x + -2
(2 * 3 + 5x * 3) + -26 = 13x + -2
(6 + 15x) + -26 = 13x + -2

Reorder the terms:
6 + -26 + 15x = 13x + -2

Combine like terms: 6 + -26 = -20
-20 + 15x = 13x + -2

Reorder the terms:
-20 + 15x = -2 + 13x

Solving
-20 + 15x = -2 + 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.
-20 + 15x + -13x = -2 + 13x + -13x

Combine like terms: 15x + -13x = 2x
-20 + 2x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
-20 + 2x = -2 + 0
-20 + 2x = -2

Add '20' to each side of the equation.
-20 + 20 + 2x = -2 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = -2 + 20
2x = -2 + 20

Combine like terms: -2 + 20 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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