Respuesta :

Let's solve your equation step-by-step.
2(x+5)
+2
=3(2x−4)

Step 1: Simplify both sides of the equation.
2(x+5)
+2
=3(2x−4)

Simplify: (Show steps)

2x
+12
=6x−12

Step 2: Subtract 6x from both sides.
2x
+12
6x
=6x−126x

4x
+12
=−12

Step 3: Subtract 12 from both sides.
4x
+12
−12
=−12−12

4x
=−24

Step 4: Divide both sides by -4.
4x
−4
=−24−4

x=6

Answer:
x=6
Distribute the 2 and 3...
2x + 10 + 2 = 6x - 12
Combine like terms
2x + 12 = 6x - 12
Add 12 to both sides and subtract 2x from both sides. This will put the x on just one side of the equation.
24 = 4x
Then divide by 4 to isolate x
x = 6
Too make sure you have the right answer substitute 6 into the beginning equation.
2 ( 6 + 5 ) + 2 = 3 ( 2(6) - 4 )
2 ( 11 ) + 2 = 3 ( 12 - 4 )
22 + 2 = 3 ( 8 )
24 = 24