Solve (2x + 5)/3 = (3x + 4)/4 | 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

$$\frac{2x+5}{3}=\frac{3x+4}{4}$$

Solve for x

$x=8$

Steps for Solving Linear Equation

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

$$4\left(2x+5\right)=3\left(3x+4\right)$$

Use the distributive property to multiply $4$ by $2x+5$.

$$8x+20=3\left(3x+4\right)$$

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

$$8x+20=9x+12$$

Subtract $9x$ from both sides.

$$8x+20-9x=12$$

Combine $8x$ and $-9x$ to get $-x$.

$$-x+20=12$$

Subtract $20$ from both sides.

$$-x=12-20$$

Subtract $20$ from $12$ to get $-8$.

$$-x=-8$$

Multiply both sides by $-1$.

$$x=8$$