Identify equation for x: Identify the equation to solve for x. We have the equation (8/5)x = 32, and we need to find the value of x. Isolate x by multiplying: Isolate x by multiplying both sides of the equation by the reciprocal of (8/5). To isolate x, we multiply both sides by 5/8, which is the reciprocal of 8/5. Perform multiplication on both sides: Perform the multiplication on both sides. (5/8) * (8/5)x = (5/8) * 32 Simplify both sides: Simplify both sides of the equation. The left side simplifies to x because (5/8) * (8/5) = 1. The right side is 5 * 32 divided by 8. Calculate right side: Calculate the right side of the equation. 5 * 32 = 160, and 160 divided by 8 is 20. So, x = 20.

Grade 6

Solve one-step equations with whole numbers

Full solution

(\frac{8}{5})x= 32

Identify equation for x: Identify the equation to solve for x. $\newline$ We have the equation $(\frac{8}{5})x = 32$ , and we need to find the value of $x$ .
Isolate x by multiplying: Isolate $x$ by multiplying both sides of the equation by the reciprocal of $(\frac{8}{5})$ . $\newline$ To isolate $x$ , we multiply both sides by $\frac{5}{8}$ , which is the reciprocal of $\frac{8}{5}$ .
Perform multiplication on both sides: Perform the multiplication on both sides. $(\frac{5}{8}) \times (\frac{8}{5})x = (\frac{5}{8}) \times 32$
Simplify both sides: Simplify both sides of the equation. $\newline$ The left side simplifies to $x$ because $(\frac{5}{8}) \cdot (\frac{8}{5}) = 1$ . The right side is $5 \cdot 32$ divided by $8$ .
Calculate right side: Calculate the right side of the equation. $\newline$ $5 \times 32 = 160$ , and $160 \div 8 = 20$ . So, $x = 20$ .