Question

5​(xminus​6)plus4equals7xminus4

Answer 1

To solve the equation \( 5(x - 6) + 4 = 7x - 4 \), follow these steps:

1. Distribute \( 5 \) on the left side:
\[
5x - 30 + 4 = 7x - 4
\]

2. Combine like terms on the left side:
\[
5x - 26 = 7x - 4
\]

3. Next, isolate \( x \) by moving \( 5x \) to the right side and \( -4 \) to the left side:
\[
-26 + 4 = 7x - 5x
\]
\[
-22 = 2x
\]

4. Now, divide both sides by \( 2 \) to solve for \( x \):
\[
x = -11
\]

So, the solution to the equation is:
\[
\boxed{-11}
\]