solve the equation 2a=3a+4c for a

subtract 3a from each side

then, multipy both sides by -1

4c

To solve the equation 2a = 3a + 4c for a, we'll start by isolating the term containing 'a' on one side of the equation.

Step 1: Subtract 3a from both sides of the equation:
2a - 3a = 3a + 4c - 3a

Simplifying the left side:
-a = 4c

Step 2: We want to solve for 'a', so we'll multiply both sides of the equation by -1 to negate the coefficient of 'a':
(-1)(-a) = (-1)(4c)

This results in:
a = -4c

Therefore, the solution for 'a' in the equation 2a = 3a + 4c is a = -4c.