9x+6=-4x+58

Solution for 9x+6=-4x+58 equation:

Simplifying
9x + 6 = -4x + 58

Reorder the terms:
6 + 9x = -4x + 58

Reorder the terms:
6 + 9x = 58 + -4x

Solving
6 + 9x = 58 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 9x + 4x = 58 + -4x + 4x

Combine like terms: 9x + 4x = 13x
6 + 13x = 58 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 13x = 58 + 0
6 + 13x = 58

Add '-6' to each side of the equation.
6 + -6 + 13x = 58 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 58 + -6
13x = 58 + -6

Combine like terms: 58 + -6 = 52
13x = 52

Divide each side by '13'.
x = 4

Simplifying
x = 4