Solve (x + 4)/4 = (2x - 7)/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

$$\frac{x+4}{4}=\frac{2x-7}{3}$$

Solve for x

$x=8$

Steps for Solving Linear Equation

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

$$3\left(x+4\right)=4\left(2x-7\right)$$

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

$$3x+12=4\left(2x-7\right)$$

Use the distributive property to multiply $4$ by $2x-7$.

$$3x+12=8x-28$$

Subtract $8x$ from both sides.

$$3x+12-8x=-28$$

Combine $3x$ and $-8x$ to get $-5x$.

$$-5x+12=-28$$

Subtract $12$ from both sides.

$$-5x=-28-12$$

Subtract $12$ from $-28$ to get $-40$.

$$-5x=-40$$

Divide both sides by $-5$.

$$x=\frac{-40}{-5}$$

Divide $-40$ by $-5$ to get $8$.

$$x=8$$