How to solve 1630 = 8/13 * x

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1630 = 8/13 * x | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$1630=\frac{8}{13}\times x$$

$x = \frac{10595}{4} = 2648\frac{3}{4} = 2648.75$

Multiply both sides by $\frac{13}{8}$, the reciprocal of $\frac{8}{13}$.

$$1630\times \frac{13}{8}=x$$

Express $1630\times \frac{13}{8}$ as a single fraction.

$$\frac{1630\times 13}{8}=x$$

Multiply $1630$ and $13$ to get $21190$.

$$\frac{21190}{8}=x$$

Reduce the fraction $\frac{21190}{8}$ to lowest terms by extracting and canceling out $2$.

$$\frac{10595}{4}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{10595}{4}$$