Solve (2024x)/2 = (2028x)/3 | 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

$$\frac{2024x}{2}=\frac{2028x}{3}$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3\times 2024x=2\times 2028x$$

Multiply $3$ and $2024$ to get $6072$.

$$6072x=2\times 2028x$$

Multiply $2$ and $2028$ to get $4056$.

$$6072x=4056x$$

Subtract $4056x$ from both sides.

$$6072x-4056x=0$$

Combine $6072x$ and $-4056x$ to get $2016x$.

$$2016x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $2016$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$