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

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

Solve for x

$x=-6$

Steps for Solving Linear Equation

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

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

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

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

Combine $12x$ and $-8x$ to get $4x$.

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

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

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

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

$$4x+4=3x-2$$

Subtract $3x$ from both sides.

$$4x+4-3x=-2$$

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

$$x+4=-2$$

Subtract $4$ from both sides.

$$x=-2-4$$

Subtract $4$ from $-2$ to get $-6$.

$$x=-6$$