How to solve 2x - 2 = 1/5 - x

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 2x - 2 = 1/5 - x | Equatix

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Question

$$2x-2=\frac{1}{5}-x$$

Solve for x

$x=\frac{11}{15}\approx 0.733333333$

Steps for Solving Linear Equation

Add $x$ to both sides.

$$2x-2+x=\frac{1}{5}$$

Combine $2x$ and $x$ to get $3x$.

$$3x-2=\frac{1}{5}$$

Add $2$ to both sides.

$$3x=\frac{1}{5}+2$$

Convert $2$ to fraction $\frac{10}{5}$.

$$3x=\frac{1}{5}+\frac{10}{5}$$

Since $\frac{1}{5}$ and $\frac{10}{5}$ have the same denominator, add them by adding their numerators.

$$3x=\frac{1+10}{5}$$

Add $1$ and $10$ to get $11$.

$$3x=\frac{11}{5}$$

Divide both sides by $3$.

$$x=\frac{\frac{11}{5}}{3}$$

Express $\frac{\frac{11}{5}}{3}$ as a single fraction.

$$x=\frac{11}{5\times 3}$$

Multiply $5$ and $3$ to get $15$.

$$x=\frac{11}{15}$$

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Question

Solve for x

Steps for Solving Linear Equation