4(6x-5)+2(13-4x)=3(5x+2)-5

Solution for 4(6x-5)+2(13-4x)=3(5x+2)-5 equation:

Simplifying
4(6x + -5) + 2(13 + -4x) = 3(5x + 2) + -5

Reorder the terms:
4(-5 + 6x) + 2(13 + -4x) = 3(5x + 2) + -5
(-5 * 4 + 6x * 4) + 2(13 + -4x) = 3(5x + 2) + -5
(-20 + 24x) + 2(13 + -4x) = 3(5x + 2) + -5
-20 + 24x + (13 * 2 + -4x * 2) = 3(5x + 2) + -5
-20 + 24x + (26 + -8x) = 3(5x + 2) + -5

Reorder the terms:
-20 + 26 + 24x + -8x = 3(5x + 2) + -5

Combine like terms: -20 + 26 = 6
6 + 24x + -8x = 3(5x + 2) + -5

Combine like terms: 24x + -8x = 16x
6 + 16x = 3(5x + 2) + -5

Reorder the terms:
6 + 16x = 3(2 + 5x) + -5
6 + 16x = (2 * 3 + 5x * 3) + -5
6 + 16x = (6 + 15x) + -5

Reorder the terms:
6 + 16x = 6 + -5 + 15x

Combine like terms: 6 + -5 = 1
6 + 16x = 1 + 15x

Solving
6 + 16x = 1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 16x + -15x = 1 + 15x + -15x

Combine like terms: 16x + -15x = 1x
6 + 1x = 1 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + 1x = 1 + 0
6 + 1x = 1

Add '-6' to each side of the equation.
6 + -6 + 1x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 1 + -6
1x = 1 + -6

Combine like terms: 1 + -6 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5