Solve 0.4(7x+2)=4.9x+1.5

$$0.4 ( 7 x + 2 ) = 4.9 x + 1.5$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by 7x+2.

$$2.8x+0.8=4.9x+1.5$$

Subtract 4.9x from both sides.

$$2.8x+0.8-4.9x=1.5$$

Combine 2.8x and -4.9x to get -2.1x.

$$-2.1x+0.8=1.5$$

Subtract 0.8 from both sides.

$$-2.1x=1.5-0.8$$

Subtract 0.8 from 1.5 to get 0.7.

$$-2.1x=0.7$$

Divide both sides by -2.1.

$$x=\frac{0.7}{-2.1}$$

Expand \frac{0.7}{-2.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{7}{-21}$$

Reduce the fraction \frac{7}{-21} to lowest terms by extracting and canceling out 7.

$$x=-\frac{1}{3}$$