Solve (x)/(6)+5=(x)/(3)+(x)/(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

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

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $6,3,4$.

$$2x+60=4x+3x$$

Combine $4x$ and $3x$ to get $7x$.

$$2x+60=7x$$

Subtract $7x$ from both sides.

$$2x+60-7x=0$$

Combine $2x$ and $-7x$ to get $-5x$.

$$-5x+60=0$$

Subtract $60$ from both sides. Anything subtracted from zero gives its negation.

$$-5x=-60$$

Divide both sides by $-5$.

$$x=\frac{-60}{-5}$$

Divide $-60$ by $-5$ to get $12$.

$$x=12$$