Solve (2x-1)/(3)-(x-2)/(4)=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

$$\frac{ 2x-1 }{ 3 } - \frac{ x-2 }{ 4 } =1$$

Solve for x

$x=2$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)-3\left(x-2\right)=12$$

Use the distributive property to multiply $4$ by $2x-1$.

$$8x-4-3\left(x-2\right)=12$$

Use the distributive property to multiply $-3$ by $x-2$.

$$8x-4-3x+6=12$$

Combine $8x$ and $-3x$ to get $5x$.

$$5x-4+6=12$$

Add $-4$ and $6$ to get $2$.

$$5x+2=12$$

Subtract $2$ from both sides.

$$5x=12-2$$

Subtract $2$ from $12$ to get $10$.

$$5x=10$$

Divide both sides by $5$.

$$x=\frac{10}{5}$$

Divide $10$ by $5$ to get $2$.

$$x=2$$