3(2x-20)-5(3-2x)=3

Solution for 3(2x-20)-5(3-2x)=3 equation:

Simplifying
3(2x + -20) + -5(3 + -2x) = 3

Reorder the terms:
3(-20 + 2x) + -5(3 + -2x) = 3
(-20 * 3 + 2x * 3) + -5(3 + -2x) = 3
(-60 + 6x) + -5(3 + -2x) = 3
-60 + 6x + (3 * -5 + -2x * -5) = 3
-60 + 6x + (-15 + 10x) = 3

Reorder the terms:
-60 + -15 + 6x + 10x = 3

Combine like terms: -60 + -15 = -75
-75 + 6x + 10x = 3

Combine like terms: 6x + 10x = 16x
-75 + 16x = 3

Solving
-75 + 16x = 3

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + 16x = 3 + 75

Combine like terms: -75 + 75 = 0
0 + 16x = 3 + 75
16x = 3 + 75

Combine like terms: 3 + 75 = 78
16x = 78

Divide each side by '16'.
x = 4.875

Simplifying
x = 4.875