.5(2x+.75)-.33(.1+x)=1

Solution for .5(2x+.75)-.33(.1+x)=1 equation:

Simplifying
0.5(2x + 0.75) + -0.33(0.1 + x) = 1

Reorder the terms:
0.5(0.75 + 2x) + -0.33(0.1 + x) = 1
(0.75 * 0.5 + 2x * 0.5) + -0.33(0.1 + x) = 1
(0.375 + 1x) + -0.33(0.1 + x) = 1
0.375 + 1x + (0.1 * -0.33 + x * -0.33) = 1
0.375 + 1x + (-0.033 + -0.33x) = 1

Reorder the terms:
0.375 + -0.033 + 1x + -0.33x = 1

Combine like terms: 0.375 + -0.033 = 0.342
0.342 + 1x + -0.33x = 1

Combine like terms: 1x + -0.33x = 0.67x
0.342 + 0.67x = 1

Solving
0.342 + 0.67x = 1

Solving for variable 'x'.

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

Add '-0.342' to each side of the equation.
0.342 + -0.342 + 0.67x = 1 + -0.342

Combine like terms: 0.342 + -0.342 = 0.000
0.000 + 0.67x = 1 + -0.342
0.67x = 1 + -0.342

Combine like terms: 1 + -0.342 = 0.658
0.67x = 0.658

Divide each side by '0.67'.
x = 0.9820895522

Simplifying
x = 0.9820895522