Math questions please help?

Question

Solve 0.5(2x+3/4)-1/3(0.1+x)=1

The measures of an angle and its complement differ by 22 degrees. find the measures of the angles.

Answer 1

For the first question, distribute.

0.5 x (2x + 3/4) = x + 3/8

-1/3 x (0.1 + x) = -1/30 + -1/3x

so then it's x + 3/8 - 1/30 - 1/3x = 1

put together like terms and it becomes 2/3x + 41/120 = 1

then I subtract 41/120 from both sides so its 2/3x = 79/120

then I multiply both sides by 3/2 to isolate x so its x = 237/240 or 79/80

For the second one, you know that both angles add up to 90 so you can write an equation

x + (x+22) = 90

2x + 22 = 90

subtract 22 from both sides and its 2x = 68

then divide both sides by 2 and its x = 34

so one angle measure is 34 and since together must equal 90 the other is 56