.11x+.7(x-2)=.01(3x-3)

Solution for .11x+.7(x-2)=.01(3x-3) equation:

Simplifying
0.11x + 0.7(x + -2) = 0.01(3x + -3)

Reorder the terms:
0.11x + 0.7(-2 + x) = 0.01(3x + -3)
0.11x + (-2 * 0.7 + x * 0.7) = 0.01(3x + -3)
0.11x + (-1.4 + 0.7x) = 0.01(3x + -3)

Reorder the terms:
-1.4 + 0.11x + 0.7x = 0.01(3x + -3)

Combine like terms: 0.11x + 0.7x = 0.81x
-1.4 + 0.81x = 0.01(3x + -3)

Reorder the terms:
-1.4 + 0.81x = 0.01(-3 + 3x)
-1.4 + 0.81x = (-3 * 0.01 + 3x * 0.01)
-1.4 + 0.81x = (-0.03 + 0.03x)

Solving
-1.4 + 0.81x = -0.03 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-1.4 + 0.81x + -0.03x = -0.03 + 0.03x + -0.03x

Combine like terms: 0.81x + -0.03x = 0.78x
-1.4 + 0.78x = -0.03 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-1.4 + 0.78x = -0.03 + 0.00
-1.4 + 0.78x = -0.03

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.78x = -0.03 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.78x = -0.03 + 1.4
0.78x = -0.03 + 1.4

Combine like terms: -0.03 + 1.4 = 1.37
0.78x = 1.37

Divide each side by '0.78'.
x = 1.756410256

Simplifying
x = 1.756410256