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anyanavicka [17]
3 years ago
6

Mark is 7 years older than his brother, who is y years old. Which expression correctly represents Mark's age?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

7 + Y = X (x= His unknown age)



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Vedmedyk [2.9K]

Answer:

x=4

Step-by-step explanation:

Simplifying

2(6x + 4) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:

2(4 + 6x) + -6 + 2x = 3(4x + 3) + 1

(4 * 2 + 6x * 2) + -6 + 2x = 3(4x + 3) + 1

(8 + 12x) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:

8 + -6 + 12x + 2x = 3(4x + 3) + 1

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2 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: 12x + 2x = 14x

2 + 14x = 3(4x + 3) + 1

Reorder the terms:

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2 + 14x = (9 + 12x) + 1

Reorder the terms:

2 + 14x = 9 + 1 + 12x

Combine like terms: 9 + 1 = 10

2 + 14x = 10 + 12x

Solving

2 + 14x = 10 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

2 + 14x + -12x = 10 + 12x + -12x

Combine like terms: 14x + -12x = 2x

2 + 2x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0

2 + 2x = 10 + 0

2 + 2x = 10

Add '-2' to each side of the equation.

2 + -2 + 2x = 10 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 10 + -2

2x = 10 + -2

Combine like terms: 10 + -2 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying

x = 4

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