3(2x-0.6)-7(x-1)=8(x-1.25)

Solution for 3(2x-0.6)-7(x-1)=8(x-1.25) equation:

Simplifying
3(2x + -0.6) + -7(x + -1) = 8(x + -1.25)

Reorder the terms:
3(-0.6 + 2x) + -7(x + -1) = 8(x + -1.25)
(-0.6 * 3 + 2x * 3) + -7(x + -1) = 8(x + -1.25)
(-1.8 + 6x) + -7(x + -1) = 8(x + -1.25)

Reorder the terms:
-1.8 + 6x + -7(-1 + x) = 8(x + -1.25)
-1.8 + 6x + (-1 * -7 + x * -7) = 8(x + -1.25)
-1.8 + 6x + (7 + -7x) = 8(x + -1.25)

Reorder the terms:
-1.8 + 7 + 6x + -7x = 8(x + -1.25)

Combine like terms: -1.8 + 7 = 5.2
5.2 + 6x + -7x = 8(x + -1.25)

Combine like terms: 6x + -7x = -1x
5.2 + -1x = 8(x + -1.25)

Reorder the terms:
5.2 + -1x = 8(-1.25 + x)
5.2 + -1x = (-1.25 * 8 + x * 8)
5.2 + -1x = (-10 + 8x)

Solving
5.2 + -1x = -10 + 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.
5.2 + -1x + -8x = -10 + 8x + -8x

Combine like terms: -1x + -8x = -9x
5.2 + -9x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
5.2 + -9x = -10 + 0
5.2 + -9x = -10

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -9x = -10 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -9x = -10 + -5.2
-9x = -10 + -5.2

Combine like terms: -10 + -5.2 = -15.2
-9x = -15.2

Divide each side by '-9'.
x = 1.688888889

Simplifying
x = 1.688888889