15=3(x-14)+2(4-x)

Solution for 15=3(x-14)+2(4-x) equation:

Simplifying
15 = 3(x + -14) + 2(4 + -1x)

Reorder the terms:
15 = 3(-14 + x) + 2(4 + -1x)
15 = (-14 * 3 + x * 3) + 2(4 + -1x)
15 = (-42 + 3x) + 2(4 + -1x)
15 = -42 + 3x + (4 * 2 + -1x * 2)
15 = -42 + 3x + (8 + -2x)

Reorder the terms:
15 = -42 + 8 + 3x + -2x

Combine like terms: -42 + 8 = -34
15 = -34 + 3x + -2x

Combine like terms: 3x + -2x = 1x
15 = -34 + 1x

Solving
15 = -34 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + -1x = -34 + 1x + -1x

Combine like terms: 1x + -1x = 0
15 + -1x = -34 + 0
15 + -1x = -34

Add '-15' to each side of the equation.
15 + -15 + -1x = -34 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -34 + -15
-1x = -34 + -15

Combine like terms: -34 + -15 = -49
-1x = -49

Divide each side by '-1'.
x = 49

Simplifying
x = 49