Question

Solve the following linear equation. (4 points)
4x+19+6x+1=350

x=___

Answer 1

To solve the equation \( 4x + 19 + 6x + 1 = 350 \), first, we will combine like terms.

1. Combine the \( x \) terms:
\[
4x + 6x = 10x
\]

2. Combine the constant terms:
\[
19 + 1 = 20
\]

Now, rewrite the equation with the combined terms:
\[
10x + 20 = 350
\]

Next, isolate \( x \) by following these steps:

3. Subtract 20 from both sides:
\[
10x = 350 - 20
\]
\[
10x = 330
\]

4. Divide both sides by 10:
\[
x = \frac{330}{10}
\]
\[
x = 33
\]

Thus, the solution is:
\[
x = 33
\]