How to solve 3/8 + x = 13/7

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 3/8 + x = 13/7 | Equatix

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$$\frac{3}{8}+x=\frac{13}{7}$$

$x = \frac{83}{56} = 1\frac{27}{56} \approx 1.482142857$

Subtract $\frac{3}{8}$ from both sides.

$$x=\frac{13}{7}-\frac{3}{8}$$

Least common multiple of $7$ and $8$ is $56$. Convert $\frac{13}{7}$ and $\frac{3}{8}$ to fractions with denominator $56$.

$$x=\frac{104}{56}-\frac{21}{56}$$

Since $\frac{104}{56}$ and $\frac{21}{56}$ have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{104-21}{56}$$

Subtract $21$ from $104$ to get $83$.

$$x=\frac{83}{56}$$