Solve x=-5(15/11)+3/4

$$x = \frac { - 5 ( \frac { 15 } { 11 } ) + 3 } { 4 }$$

Solve for x

$$x=-\frac{21}{22}\approx -0.954545455$$

Steps for Solving Linear Equation

Express -5\times \frac{15}{11} as a single fraction.

$$x=\frac{\frac{-5\times 15}{11}+3}{4}$$

Multiply -5 and 15 to get -75.

$$x=\frac{\frac{-75}{11}+3}{4}$$

Fraction \frac{-75}{11} can be rewritten as -\frac{75}{11} by extracting the negative sign.

$$x=\frac{-\frac{75}{11}+3}{4}$$

Convert 3 to fraction \frac{33}{11}.

$$x=\frac{-\frac{75}{11}+\frac{33}{11}}{4}$$

Since -\frac{75}{11} and \frac{33}{11} have the same denominator, add them by adding their numerators.

$$x=\frac{\frac{-75+33}{11}}{4}$$

Add -75 and 33 to get -42.

$$x=\frac{-\frac{42}{11}}{4}$$

Express \frac{-\frac{42}{11}}{4} as a single fraction.

$$x=\frac{-42}{11\times 4}$$

Multiply 11 and 4 to get 44.

$$x=\frac{-42}{44}$$

Reduce the fraction \frac{-42}{44} to lowest terms by extracting and canceling out 2.

$$x=-\frac{21}{22}$$

Assign x

$$x≔-\frac{21}{22}$$