Solve 3x+4x(-15/10)=16

$$3 x + 4 x ( - \frac { 15 } { 10 } ) = 16$$

Solve for x

$$x = -\frac{16}{3} = -5\frac{1}{3} \approx -5.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$3x+4x\left(-\frac{3}{2}\right)=16$$

Express 4\left(-\frac{3}{2}\right) as a single fraction.

$$3x+\frac{4\left(-3\right)}{2}x=16$$

Multiply 4 and -3 to get -12.

$$3x+\frac{-12}{2}x=16$$

Divide -12 by 2 to get -6.

$$3x-6x=16$$

Combine 3x and -6x to get -3x.

$$-3x=16$$

Divide both sides by -3.

$$x=\frac{16}{-3}$$

Fraction \frac{16}{-3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$x=-\frac{16}{3}$$