Solve 9x+1.2=(-x+0.8/2+0.8)*10

$$9 x + 1.2 = ( - \frac { x + 0.8 } { 2 } + 0.8 ) \cdot 10$$

Solve for x

$$x=0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$18x+2.4=2\left(-\frac{x+0.8}{2}+0.8\right)\times 10$$

Multiply 2 and 10 to get 20.

$$18x+2.4=20\left(-\frac{x+0.8}{2}+0.8\right)$$

Use the distributive property to multiply 20 by -\frac{x+0.8}{2}+0.8.

$$18x+2.4=20\left(-\frac{x+0.8}{2}\right)+16$$

Divide each term of x+0.8 by 2 to get \frac{1}{2}x+0.4.

$$18x+2.4=20\left(-\left(\frac{1}{2}x+0.4\right)\right)+16$$

To find the opposite of \frac{1}{2}x+0.4, find the opposite of each term.

$$18x+2.4=20\left(-\frac{1}{2}x-0.4\right)+16$$

Use the distributive property to multiply 20 by -\frac{1}{2}x-0.4.

$$18x+2.4=20\left(-\frac{1}{2}\right)x-8+16$$

Express 20\left(-\frac{1}{2}\right) as a single fraction.

$$18x+2.4=\frac{20\left(-1\right)}{2}x-8+16$$

Multiply 20 and -1 to get -20.

$$18x+2.4=\frac{-20}{2}x-8+16$$

Divide -20 by 2 to get -10.

$$18x+2.4=-10x-8+16$$

Add -8 and 16 to get 8.

$$18x+2.4=-10x+8$$

Add 10x to both sides.

$$18x+2.4+10x=8$$

Combine 18x and 10x to get 28x.

$$28x+2.4=8$$

Subtract 2.4 from both sides.

$$28x=8-2.4$$

Subtract 2.4 from 8 to get 5.6.

$$28x=5.6$$

Divide both sides by 28.

$$x=\frac{5.6}{28}$$

Expand \frac{5.6}{28} by multiplying both numerator and the denominator by 10.

$$x=\frac{56}{280}$$

Reduce the fraction \frac{56}{280} to lowest terms by extracting and canceling out 56.

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