Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x + 23 = 2(x - 5)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{5x + 23 = 2x - 10}[/tex]
Move 2x to left hand side and change it's sign
⇒[tex] \sf{5x - 2x + 23 = - 10}[/tex]
Move 23 to right hand side and change it's sign
⇒[tex] \sf{5x - 2x = - 10 - 23}[/tex]
Collect like terms
⇒[tex] \sf{3x = - 10 - 23}[/tex]
Calculate
⇒[tex] \sf{3x = - 33}[/tex]
Divide both sides of the equation by 3
⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 33}{3} }[/tex]
Calculate
⇒[tex] \sf{x = - 11}[/tex]
Hope I helped!
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