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].