Question

Solve the following linear equation.

4x+12+8x+18=174

x=__

Answer 1

To solve the equation \(4x + 12 + 8x + 18 = 174\), first combine like terms on the left side:

1. Combine the \(x\) terms:
\[
4x + 8x = 12x
\]

2. Combine the constant terms:
\[
12 + 18 = 30
\]

Now, rewrite the equation with these combined terms:
\[
12x + 30 = 174
\]

Next, isolate \(12x\) by subtracting 30 from both sides:
\[
12x = 174 - 30
\]
\[
12x = 144
\]

Now, divide both sides by 12 to solve for \(x\):
\[
x = \frac{144}{12}
\]
\[
x = 12
\]

Thus, the solution is:
\[
\boxed{12}
\]