Solve 16x-0,4+3(2-x)=(2,5x+2)*2

$$16 x - 0,4 + 3 ( 2 - x ) = ( 2,5 x + 2 ) \cdot 2$$

Solve for x

$$x=-0,2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2-x.

$$16x-0,4+6-3x=\left(2,5x+2\right)\times 2$$

Add -0,4 and 6 to get 5,6.

$$16x+5,6-3x=\left(2,5x+2\right)\times 2$$

Combine 16x and -3x to get 13x.

$$13x+5,6=\left(2,5x+2\right)\times 2$$

Use the distributive property to multiply 2,5x+2 by 2.

$$13x+5,6=5x+4$$

Subtract 5x from both sides.

$$13x+5,6-5x=4$$

Combine 13x and -5x to get 8x.

$$8x+5,6=4$$

Subtract 5,6 from both sides.

$$8x=4-5,6$$

Subtract 5,6 from 4 to get -1,6.

$$8x=-1,6$$

Divide both sides by 8.

$$x=\frac{-1,6}{8}$$

Expand \frac{-1,6}{8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-16}{80}$$

Reduce the fraction \frac{-16}{80} to lowest terms by extracting and canceling out 16.

$$x=-\frac{1}{5}$$