Question

If x + 3(2x-5) = 6 then x = O -3 3 O 15 O Option 4 O-14

Answer 1

Answer:

$\boxed{ \boxed{ \bold{ \sf{3}}}}$

Step-by-step explanation:

$\sf{x + 3(2x - 5) = 6}$

Distribute 3 through the parentheses

⇒$\sf{x + 6x - 15 = 6}$

Collect like terms

⇒$\sf{7x - 15 = 6}$

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

⇒$\sf{7x = 6 + 15}$

Add the numbers

⇒$\sf{7x = 21}$

Divide both sides of the equation by 7

⇒$\sf{ \frac{7x}{7} = \frac{21}{7} }$

Calculate

⇒$\sf{x = 3}$

Hope I helped!

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Answer 2

x = 3

Step-by-step explanation:

$x + 3(2x - 5) = 6 \\ x + 6x - 15 = 6 \\ 7x = 6 + 15 \\ 7x = 21$

$\frac{7x}{7} = \frac{21}{7} \\ x = 3$

Step 1 Use 3 to open the bracket

Step 2: Collect like terms and simplify

Step 3: Divide both sides by 7