Solve x = 4/5 * (x + 10) | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$x = \frac { 4 } { 5 } ( x + 10 )$$

Solve for x

$x=40$

Steps for Solving Linear Equation

Use the distributive property to multiply $\frac{4}{5}$ by $x+10$.

$$x=\frac{4}{5}x+\frac{4}{5}\times 10$$

Express $\frac{4}{5}\times 10$ as a single fraction.

$$x=\frac{4}{5}x+\frac{4\times 10}{5}$$

Multiply $4$ and $10$ to get $40$.

$$x=\frac{4}{5}x+\frac{40}{5}$$

Divide $40$ by $5$ to get $8$.

$$x=\frac{4}{5}x+8$$

Subtract $\frac{4}{5}x$ from both sides.

$$x-\frac{4}{5}x=8$$

Combine $x$ and $-\frac{4}{5}x$ to get $\frac{1}{5}x$.

$$\frac{1}{5}x=8$$

Multiply both sides by $5$, the reciprocal of $\frac{1}{5}$.

$$x=8\times 5$$

Multiply $8$ and $5$ to get $40$.

$$x=40$$