Solve 2x+.3(10)=.25(10+x)

$$2 x + .3 ( 10 ) = .25 ( 10 + x )$$

Solve for x

$$x=-\frac{2}{7}\approx -0.285714286$$

Steps for Solving Linear Equation

Multiply 0.3 and 10 to get 3.

$$2x+3=0.25\left(10+x\right)$$

Use the distributive property to multiply 0.25 by 10+x.

$$2x+3=2.5+0.25x$$

Subtract 0.25x from both sides.

$$2x+3-0.25x=2.5$$

Combine 2x and -0.25x to get 1.75x.

$$1.75x+3=2.5$$

Subtract 3 from both sides.

$$1.75x=2.5-3$$

Subtract 3 from 2.5 to get -0.5.

$$1.75x=-0.5$$

Divide both sides by 1.75.

$$x=\frac{-0.5}{1.75}$$

Expand \frac{-0.5}{1.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-50}{175}$$

Reduce the fraction \frac{-50}{175} to lowest terms by extracting and canceling out 25.

$$x=-\frac{2}{7}$$