5(4+1)-9(2x-3)=38

Solution for 5(4+1)-9(2x-3)=38 equation:

Simplifying
5(4 + 1) + -9(2x + -3) = 38

Combine like terms: 4 + 1 = 5
5(5) + -9(2x + -3) = 38

Multiply 5 * 5
25 + -9(2x + -3) = 38

Reorder the terms:
25 + -9(-3 + 2x) = 38
25 + (-3 * -9 + 2x * -9) = 38
25 + (27 + -18x) = 38

Combine like terms: 25 + 27 = 52
52 + -18x = 38

Solving
52 + -18x = 38

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + -18x = 38 + -52

Combine like terms: 52 + -52 = 0
0 + -18x = 38 + -52
-18x = 38 + -52

Combine like terms: 38 + -52 = -14
-18x = -14

Divide each side by '-18'.
x = 0.7777777778

Simplifying
x = 0.7777777778