Respuesta :

Answer:

[tex]x = \frac{37}{4}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf x = 9.25}}}}[/tex]

Step-by-step explanation:

[tex] \sf{15 - 2(3 - 2x) = 46}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{15 - 6 + 4x = 46}[/tex]

Subtract 6 from 15

⇒[tex] \sf{9 + 4x = 46}[/tex]

Move 9 to right hand side and change its sign

⇒[tex] \sf{4x = 46 - 9}[/tex]

Subtract 9 from 46

⇒[tex] \sf{4x = 37}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4x}{4} = \frac{37}{4} }[/tex]

Calculate

⇒[tex] \sf{x = 9.25}[/tex]

Hope I helped!

Best regards!!