How to solve -1+5x=(x-4)x7

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve -1+5x=(x-4)x7 | Equatix

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Question

$$-1+5x=(x-4)x7$$

Solve for x

$x=-\frac{4x_{7}-1}{5-x_{7}}$
$x_{7}\neq 5$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-4$ by $x_{7}$.

$$-1+5x=xx_{7}-4x_{7}$$

Subtract $xx_{7}$ from both sides.

$$-1+5x-xx_{7}=-4x_{7}$$

Add $1$ to both sides.

$$5x-xx_{7}=-4x_{7}+1$$

Combine all terms containing $x$.

$$\left(5-x_{7}\right)x=-4x_{7}+1$$

The equation is in standard form.

$$\left(5-x_{7}\right)x=1-4x_{7}$$

Divide both sides by $-x_{7}+5$.

$$\frac{\left(5-x_{7}\right)x}{5-x_{7}}=\frac{1-4x_{7}}{5-x_{7}}$$

Dividing by $-x_{7}+5$ undoes the multiplication by $-x_{7}+5$.

$$x=\frac{1-4x_{7}}{5-x_{7}}$$

Show Solution

Solve for x_7

$x_{7}=-\frac{5x-1}{4-x}$
$x\neq 4$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-4$ by $x_{7}$.

$$-1+5x=xx_{7}-4x_{7}$$

Swap sides so that all variable terms are on the left hand side.

$$xx_{7}-4x_{7}=-1+5x$$

Combine all terms containing $x_{7}$.

$$\left(x-4\right)x_{7}=-1+5x$$

The equation is in standard form.

$$\left(x-4\right)x_{7}=5x-1$$

Divide both sides by $x-4$.

$$\frac{\left(x-4\right)x_{7}}{x-4}=\frac{5x-1}{x-4}$$

Dividing by $x-4$ undoes the multiplication by $x-4$.

$$x_{7}=\frac{5x-1}{x-4}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

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Linear Algebra

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Example

Question

Solve for x

Steps for Solving Linear Equation

Solve for x_7

Steps for Solving Linear Equation