3 + -4x = 5(x +6)
Re-order the terms:
3 + -4x = 5(6 + x)
3 + -4x = (6 . 5 + x . 5)
3 + -4x = (30 + 5x)
Solving:
3 + -4x = 30 + 5x
Solving for variable "x"
Move all terms containing "x" to the left, all the other terms to the right.
Add "-5x" to each side of the equation.
3 + -4x + -5x = 30 + 5x + -5x
Combine like terms: -4x + -5x = -9x
3 + -9x = 30 +5x + -5x
Combine like terms: 5x + -5x = 0
0 + -9x = 30 +0
3 + -9x = 30
Add "-3" to each side of the equation.
3 + -3 + -9x = 30 + 3
Combine like terms: 3 + -3 = 0
0 + -9x = 30 + -3
-9x = 30 + -3
Combine like terms: 30 + -3 = 27
-9x = 27
Divide each side by "-9".
x = -3
Simplifying:
x = -3
