Solve (8) x/2 - 2 = x/3 + 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

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

Solve for x

$x=18$

Steps for Solving Linear Equation

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

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

Subtract $2x$ from both sides.

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

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

$$x-12=6$$

Add $12$ to both sides.

$$x=6+12$$

Add $6$ and $12$ to get $18$.

$$x=18$$