Respuesta :

Answer:

x=37 Hope this helped <3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+7=2(x−15)

x+7=(2)(x)+(2)(−15)(Distribute)

x+7=2x+−30

x+7=2x−30

Step 2: Subtract 2x from both sides.

x+7−2x=2x−30−2x

−x+7=−30

Step 3: Subtract 7 from both sides.

−x+7−7=−30−7

−x=−37

Step 4: Divide both sides by -1

Answer:

[tex]\boxed {x = 37}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x + 7 = 2(x - 15)[/tex]

-Use Distributive Property:

[tex]x + 7 = 2(x - 15)[/tex]

[tex]x + 7 = 2x - 30[/tex]

-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:

[tex]x + 7 - 2x = 2x - 2x - 30[/tex]

[tex]-x + 7 = -30[/tex]

-Subtract [tex]7[/tex] to both sides:

[tex]-x + 7 - 7 = -30 - 7[/tex]

[tex]-x = -37[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]

[tex]\boxed {x = 37}[/tex]

So, the value of [tex]x[/tex] is [tex]37[/tex].