Solve 4(x-7)=0.3(x+2)+2.11

$$4 ( x - 7 ) = 0.3 ( x + 2 ) + 2.11$$

Solve for x

$$x=8.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-7.

$$4x-28=0.3\left(x+2\right)+2.11$$

Use the distributive property to multiply 0.3 by x+2.

$$4x-28=0.3x+0.6+2.11$$

Add 0.6 and 2.11 to get 2.71.

$$4x-28=0.3x+2.71$$

Subtract 0.3x from both sides.

$$4x-28-0.3x=2.71$$

Combine 4x and -0.3x to get 3.7x.

$$3.7x-28=2.71$$

Add 28 to both sides.

$$3.7x=2.71+28$$

Add 2.71 and 28 to get 30.71.

$$3.7x=30.71$$

Divide both sides by 3.7.

$$x=\frac{30.71}{3.7}$$

Expand \frac{30.71}{3.7} by multiplying both numerator and the denominator by 100.

$$x=\frac{3071}{370}$$

Reduce the fraction \frac{3071}{370} to lowest terms by extracting and canceling out 37.

$$x=\frac{83}{10}$$