Solve 4/5 * x - 65/100 * x = 21 | Equatix - Math Solver

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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$\frac{4}{5}x-\frac{65}{100}x=21$$

Solve for x

$x=140$

Steps for Solving Linear Equation

Reduce the fraction $\frac{65}{100}$ to lowest terms by extracting and canceling out $5$.

$$\frac{4}{5}x-\frac{13}{20}x=21$$

Combine $\frac{4}{5}x$ and $-\frac{13}{20}x$ to get $\frac{3}{20}x$.

$$\frac{3}{20}x=21$$

Multiply both sides by $\frac{20}{3}$, the reciprocal of $\frac{3}{20}$.

$$x=21\times \frac{20}{3}$$

Express $21\times \frac{20}{3}$ as a single fraction.

$$x=\frac{21\times 20}{3}$$

Multiply $21$ and $20$ to get $420$.

$$x=\frac{420}{3}$$

Divide $420$ by $3$ to get $140$.

$$x=140$$