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Solve 12(x - 2) + 3x = {(x + 12) + 10x

User Manux
by
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2 Answers

13 votes

Answer: x = 9

Step-by-step explanation:

12(x − 2) + 3x = x + 12 + 10x

12(x - 2) + 3x = 11x + 12

12x - 24 + 3x = 11x + 12

15x - 24 = 11x + 12

15x = 11x + 12 + 24

15x = 11x + 36

15x - 11x = 36

4x = 36

x = 36/4

x = 9

User Woto
by
4.4k points
5 votes

Answer:

x=9

Let's solve your equation step-by-step

12(x−2)+3x=x+12+10x

Step 1: Simplify both sides of the equation.

12(x−2)+3x=x+12+10x

(12)(x)+(12)(−2)+3x=x+12+10x(Distribute)

12x+−24+3x=x+12+10x

(12x+3x)+(−24)=(x+10x)+(12)(Combine Like Terms)

15x+−24=11x+12

15x−24=11x+12

Step 2: Subtract 11x from both sides.

15x−24−11x=11x+12−11x

4x−24=12

Step 3: Add 24 to both sides.

4x−24+24=12+24

4x=36

Step 4: Divide both sides by 4.

4x/4=36/4

x=9

Answer:

x=9

User Mr Mo
by
4.8k points