Question

Can you do step by step to the problem 7(x+5)=3(x-8)

Answer 1

Starting with the equation:

`7(x+5)=3(x-8)`

Use the distributive property to expand both parenthesis:

`7\cdot x+7\cdot5=3\cdot x-3\cdot8`

Solve the products 7*5 and 3*8:

`7x+35=3x-24`

Substract 35 from both sides of the equation:

`7x+35-35=3x-24-35`

Solve the additions 35-35 and -24-35:

`7x=3x-59`

Substract 3x from both sides of the equation:

`7x-3x=3x-59-3x`

Add like terms in both sides of the equation:

`4x=-59`

Divide both sides of the equation by 4:

`(4x)/(4)=(-59)/(4)`

Simplify the fraction 4/4:

`x=-(59)/(4)`

Check this answer by plugging in the value of x in the original equation:

Answer 2

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

We move all the characters to the left:

7(x+5)-(3(x-8))=0

Multiply

7x-(3(x-8))+35=0

Calculations in parentheses: -(3(x-8)), so:

3(x-8)

Multiply

3x-24

Back to the equation:

-(3x-24)

We get rid of the parentheses.

7x-3x+24+35=0

We add all the numbers and all the variables.

4x+59=0

We move all terms containing x to the left hand side, all other terms to the right hand sides.

4x=-59

x=-59/4