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

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

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

Reorder the terms:
3(2 + x) + 4(x + -3) = 42
(2 * 3 + x * 3) + 4(x + -3) = 42
(6 + 3x) + 4(x + -3) = 42

Reorder the terms:
6 + 3x + 4(-3 + x) = 42
6 + 3x + (-3 * 4 + x * 4) = 42
6 + 3x + (-12 + 4x) = 42

Reorder the terms:
6 + -12 + 3x + 4x = 42

Combine like terms: 6 + -12 = -6
-6 + 3x + 4x = 42

Combine like terms: 3x + 4x = 7x
-6 + 7x = 42

Solving
-6 + 7x = 42

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 7x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 42 + 6
7x = 42 + 6

Combine like terms: 42 + 6 = 48
7x = 48

Divide each side by '7'.
x = 6.857142857

Simplifying
x = 6.857142857