Solve x-8=(x)/(2)-(x-6)/(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

$$x-8= \frac{ x }{ 2 } - \frac{ x-6 }{ 3 }$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$6x-48=3x-2\left(x-6\right)$$

Use the distributive property to multiply $-2$ by $x-6$.

$$6x-48=3x-2x+12$$

Combine $3x$ and $-2x$ to get $x$.

$$6x-48=x+12$$

Subtract $x$ from both sides.

$$6x-48-x=12$$

Combine $6x$ and $-x$ to get $5x$.

$$5x-48=12$$

Add $48$ to both sides.

$$5x=12+48$$

Add $12$ and $48$ to get $60$.

$$5x=60$$

Divide both sides by $5$.

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

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

$$x=12$$