How to solve 7=2x-3/5

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=2x-3/5 | Equatix

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Question

$$7=2x-3/5$$

Solve for x

$x = \frac{19}{5} = 3\frac{4}{5} = 3.8$

Steps for Solving Linear Equation

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

$$2x-\frac{3}{5}=7$$

Add $\frac{3}{5}$ to both sides.

$$2x=7+\frac{3}{5}$$

Convert $7$ to fraction $\frac{35}{5}$.

$$2x=\frac{35}{5}+\frac{3}{5}$$

Since $\frac{35}{5}$ and $\frac{3}{5}$ have the same denominator, add them by adding their numerators.

$$2x=\frac{35+3}{5}$$

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

$$2x=\frac{38}{5}$$

Divide both sides by $2$.

$$x=\frac{\frac{38}{5}}{2}$$

Express $\frac{\frac{38}{5}}{2}$ as a single fraction.

$$x=\frac{38}{5\times 2}$$

Multiply $5$ and $2$ to get $10$.

$$x=\frac{38}{10}$$

Reduce the fraction $\frac{38}{10}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{19}{5}$$

Show Solution