Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3[ x + 3(4x - 5)] = 15x - 24}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{3[ x + 12x - 15 ] = 15x - 24}[/tex]
Collect like terms : 12x and x
⇒[tex] \sf{3[ 13x - 15 ] = 15x - 24}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{39x - 45 = 15x - 24}[/tex]
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒[tex] \sf{39x - 15x = - 24 + 45}[/tex]
Collect like terms
⇒[tex] \sf{24x = - 24 + 45}[/tex]
Calculate
⇒[tex] \sf{24x = 21}[/tex]
Divide both sides of the equation by 24
⇒[tex] \sf{ \frac{24x}{24} = \frac{21}{24}} [/tex]
Calculate
⇒[tex] \sf{x = 0.875}[/tex]
Hope I helped!
Best regards! :D
