4(x+14)-3(-x+7)=-14

Solution for 4(x+14)-3(-x+7)=-14 equation:

Simplifying
4(x + 14) + -3(-1x + 7) = -14

Reorder the terms:
4(14 + x) + -3(-1x + 7) = -14
(14 * 4 + x * 4) + -3(-1x + 7) = -14
(56 + 4x) + -3(-1x + 7) = -14

Reorder the terms:
56 + 4x + -3(7 + -1x) = -14
56 + 4x + (7 * -3 + -1x * -3) = -14
56 + 4x + (-21 + 3x) = -14

Reorder the terms:
56 + -21 + 4x + 3x = -14

Combine like terms: 56 + -21 = 35
35 + 4x + 3x = -14

Combine like terms: 4x + 3x = 7x
35 + 7x = -14

Solving
35 + 7x = -14

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 7x = -14 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = -14 + -35
7x = -14 + -35

Combine like terms: -14 + -35 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7