3(x-4)-2(x+8)=42

Solution for 3(x-4)-2(x+8)=42 equation:

Simplifying
3(x + -4) + -2(x + 8) = 42

Reorder the terms:
3(-4 + x) + -2(x + 8) = 42
(-4 * 3 + x * 3) + -2(x + 8) = 42
(-12 + 3x) + -2(x + 8) = 42

Reorder the terms:
-12 + 3x + -2(8 + x) = 42
-12 + 3x + (8 * -2 + x * -2) = 42
-12 + 3x + (-16 + -2x) = 42

Reorder the terms:
-12 + -16 + 3x + -2x = 42

Combine like terms: -12 + -16 = -28
-28 + 3x + -2x = 42

Combine like terms: 3x + -2x = 1x
-28 + 1x = 42

Solving
-28 + 1x = 42

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 1x = 42 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = 42 + 28
1x = 42 + 28

Combine like terms: 42 + 28 = 70
1x = 70

Divide each side by '1'.
x = 70

Simplifying
x = 70