Question

3[x + 3(4x – 5)] = 15x – 24

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}`

Explanation:

`\sf{3[ x + 3(4x - 5)]  = 15x - 24}`

Distribute 3 through the parentheses

⇒
`\sf{3[ x + 12x - 15 ]  = 15x - 24}`

Collect like terms : 12x and x

⇒
`\sf{3[ 13x - 15 ]  = 15x - 24}`

Distribute 3 through the parentheses

⇒
`\sf{39x - 45 = 15x - 24}`

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒
`\sf{39x - 15x = - 24 + 45}`

Collect like terms

⇒
`\sf{24x = - 24 + 45}`

Calculate

⇒
`\sf{24x = 21}`

Divide both sides of the equation by 24

⇒
`\sf{ (24x)/(24) = (21)/(24)}`

Calculate

⇒
`\sf{x = 0.875}`

Hope I helped!

Best regards! :D