How to solve 7(x - 5) - x = 3

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(x - 5) - x = 3 | Equatix

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$$7(x-5)-x=3$$

$x = \frac{19}{3} = 6\frac{1}{3} \approx 6.333333333$

Use the distributive property to multiply $7$ by $x-5$.

$$7x-35-x=3$$

Combine $7x$ and $-x$ to get $6x$.

$$6x-35=3$$

Add $35$ to both sides.

$$6x=3+35$$

Add $3$ and $35$ to get $38$.

$$6x=38$$

Divide both sides by $6$.

$$x=\frac{38}{6}$$

Reduce the fraction $\frac{38}{6}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{19}{3}$$