Solve 42+(-2/3)x(-3/4)=(0.15)=

$$42 + ( - \frac { 2 } { 3 } ) x ( - \frac { 3 } { 4 } ) = ( 0.15 ) =$$

Solve for x

$$x=-83.7$$

Steps for Solving Linear Equation

Multiply -\frac{2}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$42+\frac{-2\left(-3\right)}{3\times 4}x=0.15$$

Do the multiplications in the fraction \frac{-2\left(-3\right)}{3\times 4}.

$$42+\frac{6}{12}x=0.15$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$42+\frac{1}{2}x=0.15$$

Subtract 42 from both sides.

$$\frac{1}{2}x=0.15-42$$

Subtract 42 from 0.15 to get -41.85.

$$\frac{1}{2}x=-41.85$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=-41.85\times 2$$

Multiply -41.85 and 2 to get -83.7.

$$x=-83.7$$