Solve 0.42x-x=5.1(x+3)

$$0.42 x - x = 5.1 ( x + 3 )$$

Solve for x

$$x = -\frac{765}{284} = -2\frac{197}{284} \approx -2.693661972$$

Steps for Solving Linear Equation

Combine 0.42x and -x to get -0.58x.

$$-0.58x=5.1\left(x+3\right)$$

Use the distributive property to multiply 5.1 by x+3.

$$-0.58x=5.1x+15.3$$

Subtract 5.1x from both sides.

$$-0.58x-5.1x=15.3$$

Combine -0.58x and -5.1x to get -5.68x.

$$-5.68x=15.3$$

Divide both sides by -5.68.

$$x=\frac{15.3}{-5.68}$$

Expand \frac{15.3}{-5.68} by multiplying both numerator and the denominator by 100.

$$x=\frac{1530}{-568}$$

Reduce the fraction \frac{1530}{-568} to lowest terms by extracting and canceling out 2.

$$x=-\frac{765}{284}$$