Question

Solve the following linear equation. Click Here for Help Video 6𝑥+14+10𝑥+20=2746x+14+10x+20=2746x+14+10x+20=274 𝑥=x=x=

Answer 1

To solve the equation \( 6x + 14 + 10x + 20 = 274 \), follow these steps:

1. Combine like terms on the left side of the equation:
\[
(6x + 10x) + (14 + 20) = 274
\]
This simplifies to:
\[
16x + 34 = 274
\]

2. Next, isolate the term with \( x \) by subtracting 34 from both sides:
\[
16x = 274 - 34
\]
Simplifying the right side gives:
\[
16x = 240
\]

3. Now, divide both sides by 16 to solve for \( x \):
\[
x = \frac{240}{16}
\]
This simplifies to:
\[
x = 15
\]

Thus, the solution to the equation is \( x = 15 \).