10(2x-1)-9(x-2)+4(5x+8)=71

Solution for 10(2x-1)-9(x-2)+4(5x+8)=71 equation:

Simplifying
10(2x + -1) + -9(x + -2) + 4(5x + 8) = 71

Reorder the terms:
10(-1 + 2x) + -9(x + -2) + 4(5x + 8) = 71
(-1 * 10 + 2x * 10) + -9(x + -2) + 4(5x + 8) = 71
(-10 + 20x) + -9(x + -2) + 4(5x + 8) = 71

Reorder the terms:
-10 + 20x + -9(-2 + x) + 4(5x + 8) = 71
-10 + 20x + (-2 * -9 + x * -9) + 4(5x + 8) = 71
-10 + 20x + (18 + -9x) + 4(5x + 8) = 71

Reorder the terms:
-10 + 20x + 18 + -9x + 4(8 + 5x) = 71
-10 + 20x + 18 + -9x + (8 * 4 + 5x * 4) = 71
-10 + 20x + 18 + -9x + (32 + 20x) = 71

Reorder the terms:
-10 + 18 + 32 + 20x + -9x + 20x = 71

Combine like terms: -10 + 18 = 8
8 + 32 + 20x + -9x + 20x = 71

Combine like terms: 8 + 32 = 40
40 + 20x + -9x + 20x = 71

Combine like terms: 20x + -9x = 11x
40 + 11x + 20x = 71

Combine like terms: 11x + 20x = 31x
40 + 31x = 71

Solving
40 + 31x = 71

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 31x = 71 + -40

Combine like terms: 40 + -40 = 0
0 + 31x = 71 + -40
31x = 71 + -40

Combine like terms: 71 + -40 = 31
31x = 31

Divide each side by '31'.
x = 1

Simplifying
x = 1