n. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $$ 13+18=20 x+1-38 x $$

Question

UpStudy AI · Accepted Answer

We start with the given equation:

$$
13 + 18 = 20x + 1 - 38x
$$

Step 1. Simplify both sides of the equation. The left-hand side simplifies to:

$$
13 + 18 = 31
$$

The right-hand side simplifies as follows:

$$
20x + 1 - 38x = (20 - 38)x + 1 = -18x + 1
$$

Thus, the simplified equation is:

$$
31 = 1 - 18x
$$

Step 2. Isolate the variable $$ x $$. Subtract 1 from both sides to get the term with $$ x $$ by itself:

$$
31 - 1 = -18x
$$

$$
30 = -18x
$$

Step 3. Solve for $$ x $$ by dividing both sides by $$-18$$:

$$
x = \frac{30}{-18} = -\frac{30}{18}
$$

Step 4. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 6:

$$
x = -\frac{30 \div 6}{18 \div 6} = -\frac{5}{3}
$$

Thus, the final answer is:

$$
x = -\frac{5}{3}
$$
$$ x = -\frac{5}{3} $$

n. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.