9x+2=14x-6

Solution for 9x+2=14x-6 equation:

Simplifying
9x + 2 = 14x + -6

Reorder the terms:
2 + 9x = 14x + -6

Reorder the terms:
2 + 9x = -6 + 14x

Solving
2 + 9x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
2 + 9x + -14x = -6 + 14x + -14x

Combine like terms: 9x + -14x = -5x
2 + -5x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + -5x = -6 + 0
2 + -5x = -6

Add '-2' to each side of the equation.
2 + -2 + -5x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -6 + -2
-5x = -6 + -2

Combine like terms: -6 + -2 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6