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26 votes
What is the solution for the equation, 2(4x – 6) = 8x – 12

User Daniel Reis
by
2.5k points

2 Answers

22 votes
22 votes

Answer:

X = 1

Explanation:

2(4x - 6) = 8x - 12

(8x - 12) = 8x - 12

+ 12 + 12

8x = 8x

x = 1

User Abhirup Das
by
2.9k points
24 votes
24 votes

Simplifying

2(4x + -6) = 8x + -12

Reorder the terms:

2(-6 + 4x) = 8x + -12

(-6 * 2 + 4x * 2) = 8x + -12

(-12 + 8x) = 8x + -12

Reorder the terms:

-12 + 8x = -12 + 8x

Add '12' to each side of the equation.

-12 + 12 + 8x = -12 + 12 + 8x

Combine like terms: -12 + 12 = 0

0 + 8x = -12 + 12 + 8x

8x = -12 + 12 + 8x

Combine like terms: -12 + 12 = 0

8x = 0 + 8x

8x = 8x

Add '-8x' to each side of the equation.

8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0

0 = 8x + -8x

Combine like terms: 8x + -8x = 0

0 = 0

Solving

0 = 0

User Chesterfield
by
2.9k points