Solve (7x + 5)/(x - 1) = 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

$$\frac{7x+5}{x-1}=5$$

Solve for x

$x=-5$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $1$ since division by zero is not defined. Multiply both sides of the equation by $x-1$.

$$7x+5=5\left(x-1\right)$$

Use the distributive property to multiply $5$ by $x-1$.

$$7x+5=5x-5$$

Subtract $5x$ from both sides.

$$7x+5-5x=-5$$

Combine $7x$ and $-5x$ to get $2x$.

$$2x+5=-5$$

Subtract $5$ from both sides.

$$2x=-5-5$$

Subtract $5$ from $-5$ to get $-10$.

$$2x=-10$$

Divide both sides by $2$.

$$x=\frac{-10}{2}$$

Divide $-10$ by $2$ to get $-5$.

$$x=-5$$