89=2x-3(7x+2)

Solution for 89=2x-3(7x+2) equation:

Simplifying
89 = 2x + -3(7x + 2)

Reorder the terms:
89 = 2x + -3(2 + 7x)
89 = 2x + (2 * -3 + 7x * -3)
89 = 2x + (-6 + -21x)

Reorder the terms:
89 = -6 + 2x + -21x

Combine like terms: 2x + -21x = -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