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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−12−6x
−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
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−12−6x
−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
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