Solve x/20 + x/10 + x/5 = x + 2 | 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

$$\frac{x}{20}+\frac{x}{10}+\frac{x}{5}=x+2$$

Solve for x

$x = -\frac{40}{13} = -3\frac{1}{13} \approx -3.076923077$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $20,10,5$.

$$x+2x+4x=20x+40$$

Combine $x$ and $2x$ to get $3x$.

$$3x+4x=20x+40$$

Combine $3x$ and $4x$ to get $7x$.

$$7x=20x+40$$

Subtract $20x$ from both sides.

$$7x-20x=40$$

Combine $7x$ and $-20x$ to get $-13x$.

$$-13x=40$$

Divide both sides by $-13$.

$$x=\frac{40}{-13}$$

Fraction $\frac{40}{-13}$ can be rewritten as $-\frac{40}{13}$ by extracting the negative sign.

$$x=-\frac{40}{13}$$