4(x+21)-3(-x+14)=-35

Solution for 4(x+21)-3(-x+14)=-35 equation:

Simplifying
4(x + 21) + -3(-1x + 14) = -35

Reorder the terms:
4(21 + x) + -3(-1x + 14) = -35
(21 * 4 + x * 4) + -3(-1x + 14) = -35
(84 + 4x) + -3(-1x + 14) = -35

Reorder the terms:
84 + 4x + -3(14 + -1x) = -35
84 + 4x + (14 * -3 + -1x * -3) = -35
84 + 4x + (-42 + 3x) = -35

Reorder the terms:
84 + -42 + 4x + 3x = -35

Combine like terms: 84 + -42 = 42
42 + 4x + 3x = -35

Combine like terms: 4x + 3x = 7x
42 + 7x = -35

Solving
42 + 7x = -35

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 + 7x = -35 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = -35 + -42
7x = -35 + -42

Combine like terms: -35 + -42 = -77
7x = -77

Divide each side by '7'.
x = -11

Simplifying
x = -11