x+3(x-2)=14

Solution for x+3(x-2)=14 equation:

Simplifying
x + 3(x + -2) = 14

Reorder the terms:
x + 3(-2 + x) = 14
x + (-2 * 3 + x * 3) = 14
x + (-6 + 3x) = 14

Reorder the terms:
-6 + x + 3x = 14

Combine like terms: x + 3x = 4x
-6 + 4x = 14

Solving
-6 + 4x = 14

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 + 4x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 14 + 6
4x = 14 + 6

Combine like terms: 14 + 6 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5