Question

question
solve for x in simplest form.
12 = (3/4)(6x + 4)

Explanation:

Step1: Eliminate the fraction

Multiply both sides by $\frac{4}{3}$ to cancel the fraction on the right.
$$12\times\frac{4}{3}=\frac{3}{4}(6x + 4)\times\frac{4}{3}$$
Simplify left side: $12\times\frac{4}{3} = 16$. Right side: the $\frac{3}{4}$ and $\frac{4}{3}$ cancel, leaving $6x + 4$. So we have $16 = 6x + 4$.

Step2: Isolate the term with x

Subtract 4 from both sides.
$$16 - 4 = 6x + 4 - 4$$
Simplify: $12 = 6x$.

Step3: Solve for x

Divide both sides by 6.
$$\frac{12}{6}=\frac{6x}{6}$$
Simplify: $2 = x$.

Answer:

$x = 2$