solve 3(2d-1)-2d=4(4-2+5

1 answer

Let's solve the equation step-by-step.

The given equation is:

\[ 3(2d - 1) - 2d = 4(4 - 2) + 5 \]

First, let's simplify both sides of the equation.

Start with the left side:

\[ 3(2d - 1) - 2d \]

Distributing the 3:

\[ 6d - 3 - 2d = 4d - 3 \]

Now the left side simplifies to:

\[ 4d - 3 \]

Now simplify the right side:

\[ 4(4 - 2) + 5 = 4(2) + 5 = 8 + 5 = 13 \]

So we now have:

\[ 4d - 3 = 13 \]

Next, we'll isolate \(d\). Add 3 to both sides:

\[ 4d - 3 + 3 = 13 + 3 \]

This simplifies to:

\[ 4d = 16 \]

Now divide both sides by 4:

\[ d = 4 \]

Thus, the solution is:

\[ \boxed{4} \]