-3(3-8x)+5(1+3x)=35

Solution for -3(3-8x)+5(1+3x)=35 equation:

Simplifying
-3(3 + -8x) + 5(1 + 3x) = 35
(3 * -3 + -8x * -3) + 5(1 + 3x) = 35
(-9 + 24x) + 5(1 + 3x) = 35
-9 + 24x + (1 * 5 + 3x * 5) = 35
-9 + 24x + (5 + 15x) = 35

Reorder the terms:
-9 + 5 + 24x + 15x = 35

Combine like terms: -9 + 5 = -4
-4 + 24x + 15x = 35

Combine like terms: 24x + 15x = 39x
-4 + 39x = 35

Solving
-4 + 39x = 35

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 39x = 35 + 4

Combine like terms: -4 + 4 = 0
0 + 39x = 35 + 4
39x = 35 + 4

Combine like terms: 35 + 4 = 39
39x = 39

Divide each side by '39'.
x = 1

Simplifying
x = 1