Solve 0.4(7x+14)=1.6-(x+2)

$$0.4 ( 7 x + 14 ) = 1.6 - ( x + 2 )$$

Solve for x

$$x = -\frac{30}{19} = -1\frac{11}{19} \approx -1.578947368$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by 7x+14.

$$2.8x+5.6=1.6-\left(x+2\right)$$

To find the opposite of x+2, find the opposite of each term.

$$2.8x+5.6=1.6-x-2$$

Subtract 2 from 1.6 to get -0.4.

$$2.8x+5.6=-0.4-x$$

Add x to both sides.

$$2.8x+5.6+x=-0.4$$

Combine 2.8x and x to get 3.8x.

$$3.8x+5.6=-0.4$$

Subtract 5.6 from both sides.

$$3.8x=-0.4-5.6$$

Subtract 5.6 from -0.4 to get -6.

$$3.8x=-6$$

Divide both sides by 3.8.

$$x=\frac{-6}{3.8}$$

Expand \frac{-6}{3.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-60}{38}$$

Reduce the fraction \frac{-60}{38} to lowest terms by extracting and canceling out 2.

$$x=-\frac{30}{19}$$