6(4x-1)-2(x+1)=9(x+1)

Solution for 6(4x-1)-2(x+1)=9(x+1) equation:

Simplifying
6(4x + -1) + -2(x + 1) = 9(x + 1)

Reorder the terms:
6(-1 + 4x) + -2(x + 1) = 9(x + 1)
(-1 * 6 + 4x * 6) + -2(x + 1) = 9(x + 1)
(-6 + 24x) + -2(x + 1) = 9(x + 1)

Reorder the terms:
-6 + 24x + -2(1 + x) = 9(x + 1)
-6 + 24x + (1 * -2 + x * -2) = 9(x + 1)
-6 + 24x + (-2 + -2x) = 9(x + 1)

Reorder the terms:
-6 + -2 + 24x + -2x = 9(x + 1)

Combine like terms: -6 + -2 = -8
-8 + 24x + -2x = 9(x + 1)

Combine like terms: 24x + -2x = 22x
-8 + 22x = 9(x + 1)

Reorder the terms:
-8 + 22x = 9(1 + x)
-8 + 22x = (1 * 9 + x * 9)
-8 + 22x = (9 + 9x)

Solving
-8 + 22x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 22x + -9x = 9 + 9x + -9x

Combine like terms: 22x + -9x = 13x
-8 + 13x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 13x = 9 + 0
-8 + 13x = 9

Add '8' to each side of the equation.
-8 + 8 + 13x = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = 9 + 8
13x = 9 + 8

Combine like terms: 9 + 8 = 17
13x = 17

Divide each side by '13'.
x = 1.307692308

Simplifying
x = 1.307692308