Solve -(3x)/(4)+(2)/(5)=-5+(x)/(6) | 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

$$- \frac{ 3x }{ 4 } + \frac{ 2 }{ 5 } =-5+ \frac{ x }{ 6 }$$

Solve for x

$x = \frac{324}{55} = 5\frac{49}{55} \approx 5.890909091$

Steps for Solving Linear Equation

Multiply both sides of the equation by $60$, the least common multiple of $4,5,6$.

$$-15\times 3x+24=-300+10x$$

Multiply $-15$ and $3$ to get $-45$.

$$-45x+24=-300+10x$$

Subtract $10x$ from both sides.

$$-45x+24-10x=-300$$

Combine $-45x$ and $-10x$ to get $-55x$.

$$-55x+24=-300$$

Subtract $24$ from both sides.

$$-55x=-300-24$$

Subtract $24$ from $-300$ to get $-324$.

$$-55x=-324$$

Divide both sides by $-55$.

$$x=\frac{-324}{-55}$$

Fraction $\frac{-324}{-55}$ can be simplified to $\frac{324}{55}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{324}{55}$$