Solve for x: (-1/3)(-4+3x)=1/2
To solve for x in the equation (-1/3)(-4+3x) = 1/2, follow these steps:
Step 1: Distribute the -1/3 to both terms inside the parentheses:
(-1/3)(-4) + (-1/3)(3x) = 1/2
Simplify:
(4/3) + (-1/3)(3x) = 1/2
Step 2: Multiply -1/3 by 3x:
(4/3) + (-1)(3/3)x = 1/2
Simplify:
(4/3) - (3/3)x = 1/2
Step 3: Combine like terms on the left side:
(4/3) - (3/3)x = 1/2
Simplify:
(4/3) - (x) = 1/2
Step 4: Move the constant term (4/3) to the right side of the equation:
-(x) = 1/2 - (4/3)
Simplify:
-(x) = 3/6 - 8/6
Step 5: Combine like terms on the right side:
-(x) = -5/6
Step 6: Multiply both sides of the equation by -1 to eliminate the negative sign:
x = (-5/6) * -1
Simplify:
x = 5/6
Therefore, the value of x that satisfies the equation (-1/3)(-4+3x) = 1/2 is x = 5/6.