14+4(x-5)=2(3-x)

Solution for 14+4(x-5)=2(3-x) equation:

Simplifying
14 + 4(x + -5) = 2(3 + -1x)

Reorder the terms:
14 + 4(-5 + x) = 2(3 + -1x)
14 + (-5 * 4 + x * 4) = 2(3 + -1x)
14 + (-20 + 4x) = 2(3 + -1x)

Combine like terms: 14 + -20 = -6
-6 + 4x = 2(3 + -1x)
-6 + 4x = (3 * 2 + -1x * 2)
-6 + 4x = (6 + -2x)

Solving
-6 + 4x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 4x + 2x = 6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-6 + 6x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 6x = 6 + 0
-6 + 6x = 6

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

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

Combine like terms: 6 + 6 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2