Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $$ 28+6=5 x+9-20 x $$

Question

UpStudy AI · Accepted Answer

**Step 1. Simplify each side of the equation**

We begin with the equation:
$$
28 + 6 = 5x + 9 - 20x
$$

Simplify the left-hand side:
$$
28 + 6 = 34
$$

Simplify the right-hand side by combining like terms:
$$
5x - 20x + 9 = -15x + 9
$$

Thus, the equation becomes:
$$
34 = -15x + 9
$$

**Step 2. Isolate $$ x $$**

Subtract $$ 9 $$ from both sides to isolate the term with $$ x $$:
$$
34 - 9 = -15x
$$
$$
25 = -15x
$$

Divide both sides by $$-15$$ to solve for $$ x $$:
$$
x = \frac{25}{-15}
$$

Simplify the fraction by dividing the numerator and denominator by $$ 5 $$:
$$
x = -\frac{5}{3}
$$

**Final Answer:** 
$$
-\frac{5}{3}
$$
$$ x = -\frac{5}{3} $$

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