2(2x+3)+4(3x+1)=42

Solution for 2(2x+3)+4(3x+1)=42 equation:

Simplifying
2(2x + 3) + 4(3x + 1) = 42

Reorder the terms:
2(3 + 2x) + 4(3x + 1) = 42
(3 * 2 + 2x * 2) + 4(3x + 1) = 42
(6 + 4x) + 4(3x + 1) = 42

Reorder the terms:
6 + 4x + 4(1 + 3x) = 42
6 + 4x + (1 * 4 + 3x * 4) = 42
6 + 4x + (4 + 12x) = 42

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

Combine like terms: 6 + 4 = 10
10 + 4x + 12x = 42

Combine like terms: 4x + 12x = 16x
10 + 16x = 42

Solving
10 + 16x = 42

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 16x = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 16x = 42 + -10
16x = 42 + -10

Combine like terms: 42 + -10 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2