Solve x/5 - (4x)/2 + (3x)/4 = 4 | 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

$$\frac{x}{5}-\frac{4x}{2}+\frac{3x}{4}=4$$

Solve for x

$x = -\frac{80}{21} = -3\frac{17}{21} \approx -3.80952381$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $5,2,4$.

$$4x-10\times 4x+5\times 3x=80$$

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

$$4x-40x+5\times 3x=80$$

Combine $4x$ and $-40x$ to get $-36x$.

$$-36x+5\times 3x=80$$

Multiply $5$ and $3$ to get $15$.

$$-36x+15x=80$$

Combine $-36x$ and $15x$ to get $-21x$.

$$-21x=80$$

Divide both sides by $-21$.

$$x=\frac{80}{-21}$$

Fraction $\frac{80}{-21}$ can be rewritten as $-\frac{80}{21}$ by extracting the negative sign.

$$x=-\frac{80}{21}$$