6(2x-1)+9(x+1)=8(x-1+0.25)

Solution for 6(2x-1)+9(x+1)=8(x-1+0.25) equation:

Simplifying
6(2x + -1) + 9(x + 1) = 8(x + -1 + 0.25)

Reorder the terms:
6(-1 + 2x) + 9(x + 1) = 8(x + -1 + 0.25)
(-1 * 6 + 2x * 6) + 9(x + 1) = 8(x + -1 + 0.25)
(-6 + 12x) + 9(x + 1) = 8(x + -1 + 0.25)

Reorder the terms:
-6 + 12x + 9(1 + x) = 8(x + -1 + 0.25)
-6 + 12x + (1 * 9 + x * 9) = 8(x + -1 + 0.25)
-6 + 12x + (9 + 9x) = 8(x + -1 + 0.25)

Reorder the terms:
-6 + 9 + 12x + 9x = 8(x + -1 + 0.25)

Combine like terms: -6 + 9 = 3
3 + 12x + 9x = 8(x + -1 + 0.25)

Combine like terms: 12x + 9x = 21x
3 + 21x = 8(x + -1 + 0.25)

Reorder the terms:
3 + 21x = 8(-1 + 0.25 + x)

Combine like terms: -1 + 0.25 = -0.75
3 + 21x = 8(-0.75 + x)
3 + 21x = (-0.75 * 8 + x * 8)
3 + 21x = (-6 + 8x)

Solving
3 + 21x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 21x + -8x = -6 + 8x + -8x

Combine like terms: 21x + -8x = 13x
3 + 13x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 13x = -6 + 0
3 + 13x = -6

Add '-3' to each side of the equation.
3 + -3 + 13x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = -6 + -3
13x = -6 + -3

Combine like terms: -6 + -3 = -9
13x = -9

Divide each side by '13'.
x = -0.6923076923

Simplifying
x = -0.6923076923