Solve the following equation for A : 2A/3 = 8+4A
2A = 24 + 12A
-24 = 10A
-24/10 = A
-2.4 = A
To solve the equation 2A/3 = 8 + 4A for A, we need to isolate the variable A on one side of the equation.
Step 1: Start by distributing the 4 to both terms inside the parentheses on the right side of the equation.
2A/3 = 8 + 4A
Step 2: Simplify the equation by multiplying each term by the least common denominator (LCD) of the equation, which in this case is 3.
3 * (2A/3) = 3 * (8 + 4A)
This simplifies to:
2A = 24 + 12A
Step 3: Move the 12A term to the other side of the equation by subtracting 12A from both sides.
2A - 12A = 24 + 12A - 12A
This simplifies to:
-10A = 24
Step 4: Solve for A by dividing both sides of the equation by -10.
(-10A) / -10 = 24 / -10
This simplifies to:
A = -24/10 or A = -2.4
Therefore, the solution to the equation is A = -2.4.
multiply each term by 3 to get
2A = 24 + 12A
Now it is easy