Identify Operation and Goal: Identify the math operation and the goal of the problem. The equation given is (3/4)x = 12. The goal is to solve for x. This involves undoing the multiplication of x by 3/4 to isolate x on one side of the equation.Isolate x by Undoing: Isolate x by undoing the multiplication of (3/4). To isolate x, we need to divide both sides of the equation by (3/4), which is the same as multiplying by the reciprocal of (3/4), which is (4/3). So, we multiply both sides of the equation by (4/3) to get x by itself. (4/3) * (3/4)x = (4/3) * 12Perform Left Side Multiplication: Perform the multiplication on the left side of the equation. (4/3) * (3/4)x simplifies to x because (4/3) and (3/4) are reciprocals and their product is 1. 1x = xPerform Right Side Multiplication: Perform the multiplication on the right side of the equation. (4/3) * 12 = 4 * 4 = 16 So, x = 16

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for x. $\newline$ $(\frac{3}{4})x= 12$ $\newline$ $x =$ ______

View step-by-step help

Home

Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. Solve for x.

\newline

(\frac{3}{4})x= 12

\newline

x =

______

Identify Operation and Goal: Identify the math operation and the goal of the problem. $\newline$ The equation given is $(\frac{3}{4})x = 12$ . The goal is to solve for $x$ . This involves undoing the multiplication of $x$ by $\frac{3}{4}$ to isolate $x$ on one side of the equation.
Isolate x by Undoing: Isolate x by undoing the multiplication of $(\frac{3}{4})$ . To isolate x, we need to divide both sides of the equation by $(\frac{3}{4})$ , which is the same as multiplying by the reciprocal of $(\frac{3}{4})$ , which is $(\frac{4}{3})$ . So, we multiply both sides of the equation by $(\frac{4}{3})$ to get x by itself. (\frac{$4$}{$3$}) \times (\frac{$3$}{$4$})x = (\frac{$4$}{$3$}) \times \(12
Perform Left Side Multiplication: Perform the multiplication on the left side of the equation. $\newline$ $(\frac{4}{3}) \times (\frac{3}{4})x$ simplifies to $x$ because $(\frac{4}{3})$ and $(\frac{3}{4})$ are reciprocals and their product is $1$ . $\newline$ $1x = x$
Perform Right Side Multiplication: Perform the multiplication on the right side of the equation. $\newline$ $(\frac{4}{3}) \times 12 = 4 \times 4 = 16$ $\newline$ So, $x = 16$