89=(5x-7)+(14x+1)

Solution for 89=(5x-7)+(14x+1) equation:

Simplifying
89 = (5x + -7) + (14x + 1)

Reorder the terms:
89 = (-7 + 5x) + (14x + 1)

Remove parenthesis around (-7 + 5x)
89 = -7 + 5x + (14x + 1)

Reorder the terms:
89 = -7 + 5x + (1 + 14x)

Remove parenthesis around (1 + 14x)
89 = -7 + 5x + 1 + 14x

Reorder the terms:
89 = -7 + 1 + 5x + 14x

Combine like terms: -7 + 1 = -6
89 = -6 + 5x + 14x

Combine like terms: 5x + 14x = 19x
89 = -6 + 19x

Solving
89 = -6 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
89 + -19x = -6 + 19x + -19x

Combine like terms: 19x + -19x = 0
89 + -19x = -6 + 0
89 + -19x = -6

Add '-89' to each side of the equation.
89 + -89 + -19x = -6 + -89

Combine like terms: 89 + -89 = 0
0 + -19x = -6 + -89
-19x = -6 + -89

Combine like terms: -6 + -89 = -95
-19x = -95

Divide each side by '-19'.
x = 5

Simplifying
x = 5