Solve (2x + 1)/3 = (x + 1)/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

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

Solve for x

$x=1$

Steps for Solving Linear Equation

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

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

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

$$4x+2=3\left(x+1\right)$$

Use the distributive property to multiply $3$ by $x+1$.

$$4x+2=3x+3$$

Subtract $3x$ from both sides.

$$4x+2-3x=3$$

Combine $4x$ and $-3x$ to get $x$.

$$x+2=3$$

Subtract $2$ from both sides.

$$x=3-2$$

Subtract $2$ from $3$ to get $1$.

$$x=1$$