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

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

Solve for x

$x=2$

Steps for Solving Linear Equation

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

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

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

$$9x-6-4\left(2x+3\right)=8-12x$$

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

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

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

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

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

$$x-18=8-12x$$

Add $12x$ to both sides.

$$x-18+12x=8$$

Combine $x$ and $12x$ to get $13x$.

$$13x-18=8$$

Add $18$ to both sides.

$$13x=8+18$$

Add $8$ and $18$ to get $26$.

$$13x=26$$

Divide both sides by $13$.

$$x=\frac{26}{13}$$

Divide $26$ by $13$ to get $2$.

$$x=2$$