Solve 10x=4(x+3/10)

$$10 x = 4 ( x + \frac { 3 } { 10 } )$$

Solve for x

$$x=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+\frac{3}{10}.

$$10x=4x+4\times \frac{3}{10}$$

Express 4\times \frac{3}{10} as a single fraction.

$$10x=4x+\frac{4\times 3}{10}$$

Multiply 4 and 3 to get 12.

$$10x=4x+\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$10x=4x+\frac{6}{5}$$

Subtract 4x from both sides.

$$10x-4x=\frac{6}{5}$$

Combine 10x and -4x to get 6x.

$$6x=\frac{6}{5}$$

Divide both sides by 6.

$$x=\frac{\frac{6}{5}}{6}$$

Express \frac{\frac{6}{5}}{6} as a single fraction.

$$x=\frac{6}{5\times 6}$$

Cancel out 6 in both numerator and denominator.

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