Question

What is the value of x makes the equation
7(2x-3) +4= 18+ 3(4x-1)

Answer 1

Let's solve the equation step by step.

The equation is:

\[
7(2x - 3) + 4 = 18 + 3(4x - 1)
\]

First, distribute the 7 and the 3:

\[
14x - 21 + 4 = 18 + 12x - 3
\]

Now, simplify both sides:

On the left side:
\[
14x - 21 + 4 = 14x - 17
\]

On the right side:
\[
18 - 3 = 15 \implies 15 + 12x = 12x + 15
\]

Now, the equation is:
\[
14x - 17 = 12x + 15
\]

Next, let's isolate \( x \) by subtracting \( 12x \) from both sides:

\[
14x - 12x - 17 = 15
\]

This simplifies to:
\[
2x - 17 = 15
\]

Next, add 17 to both sides:

\[
2x = 15 + 17
\]

Which simplifies to:
\[
2x = 32
\]

Now, divide both sides by 2:

\[
x = \frac{32}{2} = 16
\]

Thus, the value of \( x \) that satisfies the equation is:

\[
\boxed{16}
\]