6 ( 3x+1)- 30=3(2x-4) solve for x
18x + 6 - 30 = 6x - 12
Combine like terms to solve for x.
To solve the equation 6(3x + 1) - 30 = 3(2x - 4) for x, we will follow these steps:
Step 1: Distribute the multiplication across the parentheses on both sides of the equation:
18x + 6 - 30 = 6x - 12
Simplifying the equation, we now have:
18x - 24 = 6x - 12
Step 2: Combine like terms by subtracting 6x from both sides:
18x - 6x - 24 = -12
Simplifying further:
12x - 24 = -12
Step 3: Add 24 to both sides of the equation:
12x - 24 + 24 = -12 + 24
Simplifying again:
12x = 12
Step 4: Divide both sides of the equation by 12 to isolate x:
(12x)/12 = 12/12
Simplifying the equation one more time:
x = 1
Therefore, the solution to the equation is x = 1.