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

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

Solve for x

$x=-10$

Steps for Solving Linear Equation

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

$$3\left(3x-2\right)-4\left(2x+3\right)=8-36$$

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

$$9x-6-4\left(2x+3\right)=8-36$$

Use the distributive property to multiply $-4$ by $2x+3$.

$$9x-6-8x-12=8-36$$

Combine $9x$ and $-8x$ to get $x$.

$$x-6-12=8-36$$

Subtract $12$ from $-6$ to get $-18$.

$$x-18=8-36$$

Subtract $36$ from $8$ to get $-28$.

$$x-18=-28$$

Add $18$ to both sides.

$$x=-28+18$$

Add $-28$ and $18$ to get $-10$.

$$x=-10$$