Solve x/10 + x/2 + (2x)/4 = 5x + 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

$$\frac{x}{10}+\frac{x}{2}+\frac{2x}{4}=5x+2$$

Solve for x

$x=-\frac{20}{39}\approx -0.512820513$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $10,2,4$.

$$2x+10x+5\times 2x=100x+40$$

Combine $2x$ and $10x$ to get $12x$.

$$12x+5\times 2x=100x+40$$

Multiply $5$ and $2$ to get $10$.

$$12x+10x=100x+40$$

Combine $12x$ and $10x$ to get $22x$.

$$22x=100x+40$$

Subtract $100x$ from both sides.

$$22x-100x=40$$

Combine $22x$ and $-100x$ to get $-78x$.

$$-78x=40$$

Divide both sides by $-78$.

$$x=\frac{40}{-78}$$

Reduce the fraction $\frac{40}{-78}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{20}{39}$$