Solve (x + 7)/3 = (x - 5)/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

$$\frac{x+7}{3}=\frac{x-5}{4}$$

Solve for x

$x=-43$

Steps for Solving Linear Equation

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

$$4\left(x+7\right)=3\left(x-5\right)$$

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

$$4x+28=3\left(x-5\right)$$

Use the distributive property to multiply $3$ by $x-5$.

$$4x+28=3x-15$$

Subtract $3x$ from both sides.

$$4x+28-3x=-15$$

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

$$x+28=-15$$

Subtract $28$ from both sides.

$$x=-15-28$$

Subtract $28$ from $-15$ to get $-43$.

$$x=-43$$