7(4-x)-(x-14)=0

Solution for 7(4-x)-(x-14)=0 equation:

Simplifying
7(4 + -1x) + -1(x + -14) = 0
(4 * 7 + -1x * 7) + -1(x + -14) = 0
(28 + -7x) + -1(x + -14) = 0

Reorder the terms:
28 + -7x + -1(-14 + x) = 0
28 + -7x + (-14 * -1 + x * -1) = 0
28 + -7x + (14 + -1x) = 0

Reorder the terms:
28 + 14 + -7x + -1x = 0

Combine like terms: 28 + 14 = 42
42 + -7x + -1x = 0

Combine like terms: -7x + -1x = -8x
42 + -8x = 0

Solving
42 + -8x = 0

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + -8x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -8x = 0 + -42
-8x = 0 + -42

Combine like terms: 0 + -42 = -42
-8x = -42

Divide each side by '-8'.
x = 5.25

Simplifying
x = 5.25