Respuesta :

x = 3

Step-by-step explanation:

[tex]x + 3(2x - 5) = 6 \\ x + 6x - 15 = 6 \\ 7x = 6 + 15 \\ 7x = 21[/tex]

[tex] \frac{7x}{7} = \frac{21}{7} \\ x = 3[/tex]

Step 1 Use 3 to open the bracket

Step 2: Collect like terms and simplify

Step 3: Divide both sides by 7

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{3}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x + 3(2x - 5) = 6}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{x + 6x - 15 = 6}[/tex]

Collect like terms

⇒[tex] \sf{7x - 15 = 6}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{7x = 6 + 15}[/tex]

Add the numbers

⇒[tex] \sf{7x = 21}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 3}[/tex]

Hope I helped!

Best regards!