Solve x/2 + x/4 + x/5 + 10000 = x | 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

$$\frac{x}{2}+\frac{x}{4}+\frac{x}{5}+10000=x$$

Solve for x

$x=200000$

Steps for Solving Linear Equation

Combine $\frac{x}{2}$ and $\frac{x}{4}$ to get $\frac{3}{4}x$.

$$\frac{3}{4}x+\frac{x}{5}+10000=x$$

Combine $\frac{3}{4}x$ and $\frac{x}{5}$ to get $\frac{19}{20}x$.

$$\frac{19}{20}x+10000=x$$

Subtract $x$ from both sides.

$$\frac{19}{20}x+10000-x=0$$

Combine $\frac{19}{20}x$ and $-x$ to get $-\frac{1}{20}x$.

$$-\frac{1}{20}x+10000=0$$

Subtract $10000$ from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{20}x=-10000$$

Multiply both sides by $-20$, the reciprocal of $-\frac{1}{20}$.

$$x=-10000\left(-20\right)$$

Multiply $-10000$ and $-20$ to get $200000$.

$$x=200000$$