3(4x-5)+2(11-2)=42

Solution for 3(4x-5)+2(11-2)=42 equation:

Simplifying
3(4x + -5) + 2(11 + -2) = 42

Reorder the terms:
3(-5 + 4x) + 2(11 + -2) = 42
(-5 * 3 + 4x * 3) + 2(11 + -2) = 42
(-15 + 12x) + 2(11 + -2) = 42

Combine like terms: 11 + -2 = 9
-15 + 12x + 2(9) = 42

Multiply 2 * 9
-15 + 12x + 18 = 42

Reorder the terms:
-15 + 18 + 12x = 42

Combine like terms: -15 + 18 = 3
3 + 12x = 42

Solving
3 + 12x = 42

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 12x = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 12x = 42 + -3
12x = 42 + -3

Combine like terms: 42 + -3 = 39
12x = 39

Divide each side by '12'.
x = 3.25

Simplifying
x = 3.25