10x+6=12x-3

Solution for 10x+6=12x-3 equation:

Simplifying
10x + 6 = 12x + -3

Reorder the terms:
6 + 10x = 12x + -3

Reorder the terms:
6 + 10x = -3 + 12x

Solving
6 + 10x = -3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 10x + -12x = -3 + 12x + -12x

Combine like terms: 10x + -12x = -2x
6 + -2x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -2x = -3 + 0
6 + -2x = -3

Add '-6' to each side of the equation.
6 + -6 + -2x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -3 + -6
-2x = -3 + -6

Combine like terms: -3 + -6 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5