89=(14x+1)+(3x-7)

Solution for 89=(14x+1)+(3x-7) equation:

Simplifying
89 = (14x + 1) + (3x + -7)

Reorder the terms:
89 = (1 + 14x) + (3x + -7)

Remove parenthesis around (1 + 14x)
89 = 1 + 14x + (3x + -7)

Reorder the terms:
89 = 1 + 14x + (-7 + 3x)

Remove parenthesis around (-7 + 3x)
89 = 1 + 14x + -7 + 3x

Reorder the terms:
89 = 1 + -7 + 14x + 3x

Combine like terms: 1 + -7 = -6
89 = -6 + 14x + 3x

Combine like terms: 14x + 3x = 17x
89 = -6 + 17x

Solving
89 = -6 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
89 + -17x = -6 + 17x + -17x

Combine like terms: 17x + -17x = 0
89 + -17x = -6 + 0
89 + -17x = -6

Add '-89' to each side of the equation.
89 + -89 + -17x = -6 + -89

Combine like terms: 89 + -89 = 0
0 + -17x = -6 + -89
-17x = -6 + -89

Combine like terms: -6 + -89 = -95
-17x = -95

Divide each side by '-17'.
x = 5.588235294

Simplifying
x = 5.588235294