Solve 3(0.7g+2.8)=7(1.5g+7.2)

$$3 ( 0.7 g + 2.8 ) = 7 ( 1.5 g + 7.2 )$$

Solve for g

$$g=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 0.7g+2.8.

$$2.1g+8.4=7\left(1.5g+7.2\right)$$

Use the distributive property to multiply 7 by 1.5g+7.2.

$$2.1g+8.4=10.5g+50.4$$

Subtract 10.5g from both sides.

$$2.1g+8.4-10.5g=50.4$$

Combine 2.1g and -10.5g to get -8.4g.

$$-8.4g+8.4=50.4$$

Subtract 8.4 from both sides.

$$-8.4g=50.4-8.4$$

Subtract 8.4 from 50.4 to get 42.

$$-8.4g=42$$

Divide both sides by -8.4.

$$g=\frac{42}{-8.4}$$

Expand \frac{42}{-8.4} by multiplying both numerator and the denominator by 10.

$$g=\frac{420}{-84}$$

Divide 420 by -84 to get -5.

$$g=-5$$