5(3x-1)-1=13x+8

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Solution for 5(3x-1)-1=13x+8 equation:


Simplifying
5(3x + -1) + -1 = 13x + 8

Reorder the terms:
5(-1 + 3x) + -1 = 13x + 8
(-1 * 5 + 3x * 5) + -1 = 13x + 8
(-5 + 15x) + -1 = 13x + 8

Reorder the terms:
-5 + -1 + 15x = 13x + 8

Combine like terms: -5 + -1 = -6
-6 + 15x = 13x + 8

Reorder the terms:
-6 + 15x = 8 + 13x

Solving
-6 + 15x = 8 + 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.
-6 + 15x + -13x = 8 + 13x + -13x

Combine like terms: 15x + -13x = 2x
-6 + 2x = 8 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

Add '6' to each side of the equation.
-6 + 6 + 2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 8 + 6
2x = 8 + 6

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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