Solve (2x+3)/(4)=(3x-6)/(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

$$\frac{ 2x+3 }{ 4 } = \frac{ 3x-6 }{ 3 }$$

Solve for x

$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$

Steps for Solving Linear Equation

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

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

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

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

Use the distributive property to multiply $4$ by $3x-6$.

$$6x+9=12x-24$$

Subtract $12x$ from both sides.

$$6x+9-12x=-24$$

Combine $6x$ and $-12x$ to get $-6x$.

$$-6x+9=-24$$

Subtract $9$ from both sides.

$$-6x=-24-9$$

Subtract $9$ from $-24$ to get $-33$.

$$-6x=-33$$

Divide both sides by $-6$.

$$x=\frac{-33}{-6}$$

Reduce the fraction $\frac{-33}{-6}$ to lowest terms by extracting and canceling out $-3$.

$$x=\frac{11}{2}$$