3(x+12)+2(x-7)=42

Solution for 3(x+12)+2(x-7)=42 equation:

Simplifying
3(x + 12) + 2(x + -7) = 42

Reorder the terms:
3(12 + x) + 2(x + -7) = 42
(12 * 3 + x * 3) + 2(x + -7) = 42
(36 + 3x) + 2(x + -7) = 42

Reorder the terms:
36 + 3x + 2(-7 + x) = 42
36 + 3x + (-7 * 2 + x * 2) = 42
36 + 3x + (-14 + 2x) = 42

Reorder the terms:
36 + -14 + 3x + 2x = 42

Combine like terms: 36 + -14 = 22
22 + 3x + 2x = 42

Combine like terms: 3x + 2x = 5x
22 + 5x = 42

Solving
22 + 5x = 42

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 5x = 42 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = 42 + -22
5x = 42 + -22

Combine like terms: 42 + -22 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4