Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3 = 12x - 5(2x - 7)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{ - 3 = 12x - 10x + 35} [/tex]
Collect like terms
⇒[tex] \sf{ - 3 = 2x + 35}[/tex]
Swap the sides of the equation
⇒[tex] \sf{2x + 35 = - 3}[/tex]
Move 45 to right hand side and change it's sign
⇒[tex] \sf{2x = - 3 - 35}[/tex]
Calculate
⇒[tex] \sf{2x = - 38}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{ - 38}{2} }[/tex]
Calculate
⇒[tex] \sf{x = - 19}[/tex]
Hope I helped!
Best regards!!
