Solve for x in simplest form. 16=(1)/(2)(5x+2) Answer:

Understand and Isolate Variable Term: Understand the equation and isolate the term with the variable x. The equation is 16 = (1/2)(5x + 2). To isolate the term with x, we need to get rid of the fraction by multiplying both sides of the equation by 2. 2 * 16 = 2 * (1/2)(5x + 2)Perform Multiplication: Perform the multiplication on both sides of the equation. 32 = (2 * 1/2)(5x + 2) 32 = (1)(5x + 2) // Since 2 * 1/2 = 1 32 = 5x + 2Isolate Term with x: Isolate the term with x by subtracting 2 from both sides of the equation. 32 - 2 = 5x + 2 - 2 30 = 5xSolve for x: Solve for x by dividing both sides of the equation by 5. 30 / 5 = 5x / 5 6 = x

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x in simplest form.

16=(1)/(2)(5x+2)
Answer:

Solve for $\mathrm{x}$ in simplest form. $\newline$ $16=\frac{1}{2}(5 x+2)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

\mathrm{x}

in simplest form.

\newline

16=\frac{1}{2}(5 x+2)

\newline

Answer:

Understand and Isolate Variable Term: Understand the equation and isolate the term with the variable $x$ . The equation is $16 = (1/2)(5x + 2)$ . To isolate the term with $x$ , we need to get rid of the fraction by multiplying both sides of the equation by $2$ . $2 \times 16 = 2 \times (1/2)(5x + 2)$
Perform Multiplication: Perform the multiplication on both sides of the equation. $\newline$ $32 = (2 \times \frac{1}{2})(5x + 2)$ $\newline$ $32 = (1)(5x + 2)$ // Since $2 \times \frac{1}{2} = 1$ $\newline$ $32 = 5x + 2$
Isolate Term with x: Isolate the term with x by subtracting $2$ from both sides of the equation. $\newline$ $32 - 2 = 5x + 2 - 2$ $\newline$ $30 = 5x$
Solve for x: Solve for x by dividing both sides of the equation by $5$ . $\newline$ $\frac{30}{5} = \frac{5x}{5}$ $\newline$ $6 = x$