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

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

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

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

Reorder the terms:
3(-14 + x + -4x) = 5

Combine like terms: x + -4x = -3x
3(-14 + -3x) = 5
(-14 * 3 + -3x * 3) = 5
(-42 + -9x) = 5

Solving
-42 + -9x = 5

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 + -9x = 5 + 42

Combine like terms: -42 + 42 = 0
0 + -9x = 5 + 42
-9x = 5 + 42

Combine like terms: 5 + 42 = 47
-9x = 47

Divide each side by '-9'.
x = -5.222222222

Simplifying
x = -5.222222222