Solve (7x+4)/(x+2)=12......x= | 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

$$\frac{ 7x+4 }{ x+2 } =12......x=$$

Solve for x

$x=-4$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-2$ since division by zero is not defined. Multiply both sides of the equation by $x+2$.

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

Use the distributive property to multiply $12$ by $x+2$.

$$7x+4=12x+24$$

Subtract $12x$ from both sides.

$$7x+4-12x=24$$

Combine $7x$ and $-12x$ to get $-5x$.

$$-5x+4=24$$

Subtract $4$ from both sides.

$$-5x=24-4$$

Subtract $4$ from $24$ to get $20$.

$$-5x=20$$

Divide both sides by $-5$.

$$x=\frac{20}{-5}$$

Divide $20$ by $-5$ to get $-4$.

$$x=-4$$