Question

fter completing what is in the parentheses first, what would the equation look like? 2(4x + 5) – 3 = 5x(2 + 1)?

Answer 1

Equations

Given equation:

`\sf{2(4x+5)-3=5x(2+1)}`

Use the distributive property on both sides:

`\sf{8x+10-3=10x+5x}` <- This is what the equation looks like

Combine like terms.

`\sf{8x+7=15x}`

Subtract 8x from both sides:

`\sf{7=15x-8x}`

Simplify.

`\sf{7=7x}`

Divide both sides by 7:

`\sf{1=x}`

Therefore, x = 1.

Answer 2

Explanation:

(4x+5)(4x+5) - 3 = 5x(3)

Honestly, what I did first was I did the box method for this equation, meaning I made a square and put 4x+5 on opposite sides of the square and solved each little box in the square using multiplication.

Now this are all the answers I got,

4x*4x= 16
`x^(2)`, 4x*5=20x, 4x*5= 20x, 5*5=25

Now, you rewrite the equation as

16
`x^(2)`+40x+25-3 = 5x(3)

Distribute the same terms now.

16
`x^(2)`+40x+22= 15x