10x+2(4x+3)=42

Solution for 10x+2(4x+3)=42 equation:

Simplifying
10x + 2(4x + 3) = 42

Reorder the terms:
10x + 2(3 + 4x) = 42
10x + (3 * 2 + 4x * 2) = 42
10x + (6 + 8x) = 42

Reorder the terms:
6 + 10x + 8x = 42

Combine like terms: 10x + 8x = 18x
6 + 18x = 42

Solving
6 + 18x = 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 + 18x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = 42 + -6
18x = 42 + -6

Combine like terms: 42 + -6 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2