Solve ( i) (4x + 1)/(x - 4) = 5 | 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

$$\frac { 4 x + 1 } { x - 4 } = 5$$

Solve for x

$x=21$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $4$ since division by zero is not defined. Multiply both sides of the equation by $x-4$.

$$4x+1=5\left(x-4\right)$$

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

$$4x+1=5x-20$$

Subtract $5x$ from both sides.

$$4x+1-5x=-20$$

Combine $4x$ and $-5x$ to get $-x$.

$$-x+1=-20$$

Subtract $1$ from both sides.

$$-x=-20-1$$

Subtract $1$ from $-20$ to get $-21$.

$$-x=-21$$

Multiply both sides by $-1$.

$$x=21$$