Solve (2x)/(3)-5=(x)/(6)+1 | 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

$$\frac{ 2x }{ 3 } -5= \frac{ x }{ 6 } +1$$

Solve for x

$x=12$

Steps for Solving Linear Equation

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

$$2\times 2x-30=x+6$$

Multiply $2$ and $2$ to get $4$.

$$4x-30=x+6$$

Subtract $x$ from both sides.

$$4x-30-x=6$$

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

$$3x-30=6$$

Add $30$ to both sides.

$$3x=6+30$$

Add $6$ and $30$ to get $36$.

$$3x=36$$

Divide both sides by $3$.

$$x=\frac{36}{3}$$

Divide $36$ by $3$ to get $12$.

$$x=12$$