Solve 2.5=0.25(x+3)-0.125(2-3x)

$$2.5=0.25(x+3)-0.125(2-3x)$$

Solve for x

$$x=3.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.25 by x+3.

$$2.5=0.25x+0.75-0.125\left(2-3x\right)$$

Use the distributive property to multiply -0.125 by 2-3x.

$$2.5=0.25x+0.75-0.25+0.375x$$

Subtract 0.25 from 0.75 to get 0.5.

$$2.5=0.25x+0.5+0.375x$$

Combine 0.25x and 0.375x to get 0.625x.

$$2.5=0.625x+0.5$$

Swap sides so that all variable terms are on the left hand side.

$$0.625x+0.5=2.5$$

Subtract 0.5 from both sides.

$$0.625x=2.5-0.5$$

Subtract 0.5 from 2.5 to get 2.

$$0.625x=2$$

Divide both sides by 0.625.

$$x=\frac{2}{0.625}$$

Expand \frac{2}{0.625} by multiplying both numerator and the denominator by 1000.

$$x=\frac{2000}{625}$$

Reduce the fraction \frac{2000}{625} to lowest terms by extracting and canceling out 125.

$$x=\frac{16}{5}$$