To solve for x in the equation mx + 4y = 3t.

To solve for x in the equation mx + 4y = 3t, we can follow these steps:

Step 1: Isolate the term with x. To do this, we need to get rid of the 4y term on the left side of the equation. We can do this by subtracting 4y from both sides of the equation.

mx + 4y - 4y = 3t - 4y

This simplifies to:

mx = 3t - 4y.

Step 2: Now, we need to isolate x by getting rid of the m coefficient. Since mx means m multiplied by x, to cancel out the m, we need to divide both sides of the equation by m.

(mx) / m = (3t - 4y) / m

This simplifies to:

x = (3t - 4y) / m.

So, the solution for x in the equation mx + 4y = 3t is x = (3t - 4y) / m.

In this equation, we have a linear equation with two variables, x and y. The goal is to isolate one of the variables, in this case, x, on one side of the equation. By following the steps mentioned above, we first isolate the term with x by subtracting 4y from both sides of the equation. This allows us to make the left side of the equation only mx.

Next, we divide both sides of the equation by m to eliminate the m coefficient and solve for x. Dividing by m allows us to cancel out the m on the left side, leaving only x. On the right side, we divide each term by m individually to maintain the equality.

By following these steps, we can solve for x in equations that involve multiple variables and coefficients. It's important to remember to perform the same operations on both sides of the equation to maintain equality.