Solve 3 x/2 - 5 = x/3 - 4 | 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

$$\frac { x } { 2 } - 5 = \frac { x } { 3 } - 4$$

Solve for x

$x=6$

Steps for Solving Linear Equation

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

$$3x-30=2x-24$$

Subtract $2x$ from both sides.

$$3x-30-2x=-24$$

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

$$x-30=-24$$

Add $30$ to both sides.

$$x=-24+30$$

Add $-24$ and $30$ to get $6$.

$$x=6$$