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

$$\frac{ 3x+2 }{ 4 } = \frac{ 2x+1 }{ 2 }$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $4$, the least common multiple of $4,2$.

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

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

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

Subtract $4x$ from both sides.

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

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

$$-x+2=2$$

Subtract $2$ from both sides.

$$-x=2-2$$

Subtract $2$ from $2$ to get $0$.

$$-x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $-1$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$