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 = -37
-9x = -37

Divide each side by '-9'.
x = 4.111111111

Simplifying
x = 4.111111111