3(3x-1)-4(5-2x)=10

Solution for 3(3x-1)-4(5-2x)=10 equation:

Simplifying
3(3x + -1) + -4(5 + -2x) = 10

Reorder the terms:
3(-1 + 3x) + -4(5 + -2x) = 10
(-1 * 3 + 3x * 3) + -4(5 + -2x) = 10
(-3 + 9x) + -4(5 + -2x) = 10
-3 + 9x + (5 * -4 + -2x * -4) = 10
-3 + 9x + (-20 + 8x) = 10

Reorder the terms:
-3 + -20 + 9x + 8x = 10

Combine like terms: -3 + -20 = -23
-23 + 9x + 8x = 10

Combine like terms: 9x + 8x = 17x
-23 + 17x = 10

Solving
-23 + 17x = 10

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 17x = 10 + 23

Combine like terms: -23 + 23 = 0
0 + 17x = 10 + 23
17x = 10 + 23

Combine like terms: 10 + 23 = 33
17x = 33

Divide each side by '17'.
x = 1.941176471

Simplifying
x = 1.941176471