How to solve (7)/(5-x)=0.5

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 (7)/(5-x)=0.5 | Equatix

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$$\frac{ 7 }{ 5-x } =0.5$$

$x=-9$

Variable $x$ cannot be equal to $5$ since division by zero is not defined. Multiply both sides of the equation by $-x+5$.

$$7=0.5\left(-x+5\right)$$

Use the distributive property to multiply $0.5$ by $-x+5$.

$$7=-0.5x+2.5$$

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

$$-0.5x+2.5=7$$

Subtract $2.5$ from both sides.

$$-0.5x=7-2.5$$

Subtract $2.5$ from $7$ to get $4.5$.

$$-0.5x=4.5$$

Divide both sides by $-0.5$.

$$x=\frac{4.5}{-0.5}$$

Expand $\frac{4.5}{-0.5}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{45}{-5}$$

Divide $45$ by $-5$ to get $-9$.

$$x=-9$$