Question

3[x + 3(4x – 5)] = 15x – 24

Answer 1

Answer:

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

Step-by-step 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

⇒$\sf{ \frac{24x}{24} = \frac{21}{24}}$

Calculate

⇒$\sf{x = 0.875}$

Hope I helped!

Best regards! :D