Solve (7x+1)/(3)=(x-3)/(2) | 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

$$\frac{ 7x+1 }{ 3 } = \frac{ x-3 }{ 2 }$$

Solve for x

$x=-1$

Steps for Solving Linear Equation

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

$$2\left(7x+1\right)=3\left(x-3\right)$$

Use the distributive property to multiply $2$ by $7x+1$.

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

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

$$14x+2=3x-9$$

Subtract $3x$ from both sides.

$$14x+2-3x=-9$$

Combine $14x$ and $-3x$ to get $11x$.

$$11x+2=-9$$

Subtract $2$ from both sides.

$$11x=-9-2$$

Subtract $2$ from $-9$ to get $-11$.

$$11x=-11$$

Divide both sides by $11$.

$$x=\frac{-11}{11}$$

Divide $-11$ by $11$ to get $-1$.

$$x=-1$$