2(X+5)+6(X-2)=42

Solution for 2(X+5)+6(X-2)=42 equation:

Simplifying
2(X + 5) + 6(X + -2) = 42

Reorder the terms:
2(5 + X) + 6(X + -2) = 42
(5 * 2 + X * 2) + 6(X + -2) = 42
(10 + 2X) + 6(X + -2) = 42

Reorder the terms:
10 + 2X + 6(-2 + X) = 42
10 + 2X + (-2 * 6 + X * 6) = 42
10 + 2X + (-12 + 6X) = 42

Reorder the terms:
10 + -12 + 2X + 6X = 42

Combine like terms: 10 + -12 = -2
-2 + 2X + 6X = 42

Combine like terms: 2X + 6X = 8X
-2 + 8X = 42

Solving
-2 + 8X = 42

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 2 + 8X = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 8X = 42 + 2
8X = 42 + 2

Combine like terms: 42 + 2 = 44
8X = 44

Divide each side by '8'.
X = 5.5

Simplifying
X = 5.5