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4 votes
3(x - 6) + 6 = 5x - 6. what is the solution


2 Answers

7 votes

Answer: x = -3

Explanation:

1. Distribute the 3 into the parenthesis

3x - 18 + 6 = 5x - 6

2. Combine like terms (on the left side of the equation

3x - 12 = 5x - 6

3. Add 6 to both sides to get rid of the -6 on the right side

3x - 6 = 5x

4. Subtract 3x from both sides to get rid of the 3x from the left side

-6 = 2x

5. Divide both sides by 2

-3 = x

User Adam Prescott
by
8.3k points
5 votes

Answer:

x=-3

Explanation:

Step 1: Simplify both sides of the equation.

3(x−6)+6=5x−6

(3)(x)+(3)(−6)+6=5x+−6(Distribute)

3x+−18+6=5x+−6

(3x)+(−18+6)=5x−6(Combine Like Terms)

3x+−12=5x−6

3x−12=5x−6

Step 2: Subtract 5x from both sides.

3x−12−5x=5x−6−5x

−2x−12=−6

Step 3: Add 12 to both sides.

−2x−12+12=−6+12

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

x=−3

User Joshua Evensen
by
8.4k points