Explain how to solve these math problems!!!?

Question

1/4 (x - 5/3) = 2/3 (x+5)

solve for x

please show step by step

7/3 (y+2) = 3/4 (x+3)

Solve for x

Please show step by step

Answer 1

multiply by 12 both sides as it is the common denom'

1/4 * 12 (x - 5/3) = 2/3 *12 (x+5)

3(x-5/3) = 8(x+5)

3x -5 = 8x +40

-45 = 5x

-45/5 = -9=x

7/3 (x+2) = 3/4 (x+3)

multiply by 12 both sides as it is the common denom'

7/3*12 (x+2) = 3/4*12 (x+3)

28(x+2)= 9( x+3)

28x +56 = 9x +27

19x = 27-56

19x = - 29

x = -29/19 = -1 10/19

Answer 2

either divide the constants to one side, multiply through, combine the variables on one side, and solve for x.

or

multiply through, combine the variables on one side, and solve for x.

For example:

3(x + 1) = 2(x + 1), multiply through

3x + 3 = 2x + 2, combine variables

3x - 2x = 2 - 3, solve for x

x = -1

Answer 3

are these both in the same question or seperate questions?

for the first one

crossmultiply....3(x-5/3)=8(x+5)

3x-5=8x+40

5x=-45

x= -9.

for the second one u cant find x unless u have a value for x or another equation with x and y. maybe u meant find y? using the value of x from part 1

u get ...7/3(y+2)=3/4(-9+3)

and u can solve further