7.1x-5.6(x-1)=7.5

Solution for 7.1x-5.6(x-1)=7.5 equation:

Simplifying
7.1x + -5.6(x + -1) = 7.5

Reorder the terms:
7.1x + -5.6(-1 + x) = 7.5
7.1x + (-1 * -5.6 + x * -5.6) = 7.5
7.1x + (5.6 + -5.6x) = 7.5

Reorder the terms:
5.6 + 7.1x + -5.6x = 7.5

Combine like terms: 7.1x + -5.6x = 1.5x
5.6 + 1.5x = 7.5

Solving
5.6 + 1.5x = 7.5

Solving for variable 'x'.

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

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 1.5x = 7.5 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 1.5x = 7.5 + -5.6
1.5x = 7.5 + -5.6

Combine like terms: 7.5 + -5.6 = 1.9
1.5x = 1.9

Divide each side by '1.5'.
x = 1.266666667

Simplifying
x = 1.266666667