10x+6+12x=-15x+10+14x-8

Solution for 10x+6+12x=-15x+10+14x-8 equation:

Simplifying
10x + 6 + 12x = -15x + 10 + 14x + -8

Reorder the terms:
6 + 10x + 12x = -15x + 10 + 14x + -8

Combine like terms: 10x + 12x = 22x
6 + 22x = -15x + 10 + 14x + -8

Reorder the terms:
6 + 22x = 10 + -8 + -15x + 14x

Combine like terms: 10 + -8 = 2
6 + 22x = 2 + -15x + 14x

Combine like terms: -15x + 14x = -1x
6 + 22x = 2 + -1x

Solving
6 + 22x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 22x + x = 2 + -1x + x

Combine like terms: 22x + x = 23x
6 + 23x = 2 + -1x + x

Combine like terms: -1x + x = 0
6 + 23x = 2 + 0
6 + 23x = 2

Add '-6' to each side of the equation.
6 + -6 + 23x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 23x = 2 + -6
23x = 2 + -6

Combine like terms: 2 + -6 = -4
23x = -4

Divide each side by '23'.
x = -0.1739130435

Simplifying
x = -0.1739130435