8x+(7x-6)=(13x+14)

Solution for 8x+(7x-6)=(13x+14) equation:

Simplifying
8x + (7x + -6) = (13x + 14)

Reorder the terms:
8x + (-6 + 7x) = (13x + 14)

Remove parenthesis around (-6 + 7x)
8x + -6 + 7x = (13x + 14)

Reorder the terms:
-6 + 8x + 7x = (13x + 14)

Combine like terms: 8x + 7x = 15x
-6 + 15x = (13x + 14)

Reorder the terms:
-6 + 15x = (14 + 13x)

Remove parenthesis around (14 + 13x)
-6 + 15x = 14 + 13x

Solving
-6 + 15x = 14 + 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 = 14 + 13x + -13x

Combine like terms: 15x + -13x = 2x
-6 + 2x = 14 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6 + 2x = 14 + 0
-6 + 2x = 14

Add '6' to each side of the equation.
-6 + 6 + 2x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 14 + 6
2x = 14 + 6

Combine like terms: 14 + 6 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10