Solve (9)/(3)x+(4)/(5)x=(16x)/(2)+(13)/(4)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

$$\frac{ 9 }{ 3 } x+ \frac{ 4 }{ 5 } x= \frac{ 16x }{ 2 } + \frac{ 13 }{ 4 } x$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $60$, the least common multiple of $3,5,2,4$.

$$180x+48x=30\times 16x+195x$$

Combine $180x$ and $48x$ to get $228x$.

$$228x=30\times 16x+195x$$

Multiply $30$ and $16$ to get $480$.

$$228x=480x+195x$$

Combine $480x$ and $195x$ to get $675x$.

$$228x=675x$$

Subtract $675x$ from both sides.

$$228x-675x=0$$

Combine $228x$ and $-675x$ to get $-447x$.

$$-447x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $-447$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$