6(2x-1)-1(9x+6)=10

Solution for 6(2x-1)-1(9x+6)=10 equation:

Simplifying
6(2x + -1) + -1(9x + 6) = 10

Reorder the terms:
6(-1 + 2x) + -1(9x + 6) = 10
(-1 * 6 + 2x * 6) + -1(9x + 6) = 10
(-6 + 12x) + -1(9x + 6) = 10

Reorder the terms:
-6 + 12x + -1(6 + 9x) = 10
-6 + 12x + (6 * -1 + 9x * -1) = 10
-6 + 12x + (-6 + -9x) = 10

Reorder the terms:
-6 + -6 + 12x + -9x = 10

Combine like terms: -6 + -6 = -12
-12 + 12x + -9x = 10

Combine like terms: 12x + -9x = 3x
-12 + 3x = 10

Solving
-12 + 3x = 10

Solving for variable 'x'.

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

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

Combine like terms: -12 + 12 = 0
0 + 3x = 10 + 12
3x = 10 + 12

Combine like terms: 10 + 12 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333