Solve 4(x+38)=1.56(160+x)

$$4(x+38)=1.56(160+x)$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+38.

$$4x+152=1.56\left(160+x\right)$$

Use the distributive property to multiply 1.56 by 160+x.

$$4x+152=249.6+1.56x$$

Subtract 1.56x from both sides.

$$4x+152-1.56x=249.6$$

Combine 4x and -1.56x to get 2.44x.

$$2.44x+152=249.6$$

Subtract 152 from both sides.

$$2.44x=249.6-152$$

Subtract 152 from 249.6 to get 97.6.

$$2.44x=97.6$$

Divide both sides by 2.44.

$$x=\frac{97.6}{2.44}$$

Expand \frac{97.6}{2.44} by multiplying both numerator and the denominator by 100.

$$x=\frac{9760}{244}$$

Divide 9760 by 244 to get 40.

$$x=40$$