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

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


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

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

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

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

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

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

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

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

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

Remove parenthesis around (-3 + 13x)
-2 + 6x = -3 + 13x

Solving
-2 + 6x = -3 + 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.
-2 + 6x + -13x = -3 + 13x + -13x

Combine like terms: 6x + -13x = -7x
-2 + -7x = -3 + 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -7x = -3 + 0
-2 + -7x = -3

Add '2' to each side of the equation.
-2 + 2 + -7x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -3 + 2
-7x = -3 + 2

Combine like terms: -3 + 2 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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