0.8x-1.1(x-3)=0.7(x-1)

Solution for 0.8x-1.1(x-3)=0.7(x-1) equation:

Simplifying
0.8x + -1.1(x + -3) = 0.7(x + -1)

Reorder the terms:
0.8x + -1.1(-3 + x) = 0.7(x + -1)
0.8x + (-3 * -1.1 + x * -1.1) = 0.7(x + -1)
0.8x + (3.3 + -1.1x) = 0.7(x + -1)

Reorder the terms:
3.3 + 0.8x + -1.1x = 0.7(x + -1)

Combine like terms: 0.8x + -1.1x = -0.3x
3.3 + -0.3x = 0.7(x + -1)

Reorder the terms:
3.3 + -0.3x = 0.7(-1 + x)
3.3 + -0.3x = (-1 * 0.7 + x * 0.7)
3.3 + -0.3x = (-0.7 + 0.7x)

Solving
3.3 + -0.3x = -0.7 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
3.3 + -0.3x + -0.7x = -0.7 + 0.7x + -0.7x

Combine like terms: -0.3x + -0.7x = -1x
3.3 + -1x = -0.7 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
3.3 + -1x = -0.7 + 0.0
3.3 + -1x = -0.7

Add '-3.3' to each side of the equation.
3.3 + -3.3 + -1x = -0.7 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + -1x = -0.7 + -3.3
-1x = -0.7 + -3.3

Combine like terms: -0.7 + -3.3 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4