Solve x/3 - (x - 2)/2 = 7/3 | 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

$$\frac{x}{3}-\frac{x-2}{2}=\frac{7}{3}$$

Solve for x

$x=-8$

Steps for Solving Linear Equation

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

$$2x-3\left(x-2\right)=14$$

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

$$2x-3x+6=14$$

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

$$-x+6=14$$

Subtract $6$ from both sides.

$$-x=14-6$$

Subtract $6$ from $14$ to get $8$.

$$-x=8$$

Multiply both sides by $-1$.

$$x=-8$$