Solve 7(-23/8)+4/3=5(-23/8)+9

$$\frac { 7 ( - \frac { 23 } { 8 } ) + 4 } { 3 } = 5 ( \frac { - 23 } { 8 } ) + 9$$

Verify

Solution Steps

Multiply both sides of the equation by 24, the least common multiple of 3,8.

$$8\left(7\left(-\frac{23}{8}\right)+4\right)=15\left(-23\right)+216$$

Express 7\left(-\frac{23}{8}\right) as a single fraction.

$$8\left(\frac{7\left(-23\right)}{8}+4\right)=15\left(-23\right)+216$$

Multiply 7 and -23 to get -161.

$$8\left(\frac{-161}{8}+4\right)=15\left(-23\right)+216$$

Fraction \frac{-161}{8} can be rewritten as -\frac{161}{8} by extracting the negative sign.

$$8\left(-\frac{161}{8}+4\right)=15\left(-23\right)+216$$

Convert 4 to fraction \frac{32}{8}.

$$8\left(-\frac{161}{8}+\frac{32}{8}\right)=15\left(-23\right)+216$$

Since -\frac{161}{8} and \frac{32}{8} have the same denominator, add them by adding their numerators.

$$8\times \frac{-161+32}{8}=15\left(-23\right)+216$$

Add -161 and 32 to get -129.

$$8\left(-\frac{129}{8}\right)=15\left(-23\right)+216$$

Cancel out 8 and 8.

$$-129=15\left(-23\right)+216$$

Multiply 15 and -23 to get -345.

$$-129=-345+216$$

Add -345 and 216 to get -129.

$$-129=-129$$

Compare -129 and -129.

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