Solve 2.1x=7/10(4+x)

$$2.1 x = \frac { 7 } { 10 } ( 4 + x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{7}{10} by 4+x.

$$2.1x=\frac{7}{10}\times 4+\frac{7}{10}x$$

Express \frac{7}{10}\times 4 as a single fraction.

$$2.1x=\frac{7\times 4}{10}+\frac{7}{10}x$$

Multiply 7 and 4 to get 28.

$$2.1x=\frac{28}{10}+\frac{7}{10}x$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$2.1x=\frac{14}{5}+\frac{7}{10}x$$

Subtract \frac{7}{10}x from both sides.

$$2.1x-\frac{7}{10}x=\frac{14}{5}$$

Combine 2.1x and -\frac{7}{10}x to get \frac{7}{5}x.

$$\frac{7}{5}x=\frac{14}{5}$$

Multiply both sides by \frac{5}{7}, the reciprocal of \frac{7}{5}.

$$x=\frac{14}{5}\times \frac{5}{7}$$

Multiply \frac{14}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{14\times 5}{5\times 7}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$x=2$$