7x=2(x+2)+3(x+4)

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Solution for 7x=2(x+2)+3(x+4) equation:


Simplifying
7x = 2(x + 2) + 3(x + 4)

Reorder the terms:
7x = 2(2 + x) + 3(x + 4)
7x = (2 * 2 + x * 2) + 3(x + 4)
7x = (4 + 2x) + 3(x + 4)

Reorder the terms:
7x = 4 + 2x + 3(4 + x)
7x = 4 + 2x + (4 * 3 + x * 3)
7x = 4 + 2x + (12 + 3x)

Reorder the terms:
7x = 4 + 12 + 2x + 3x

Combine like terms: 4 + 12 = 16
7x = 16 + 2x + 3x

Combine like terms: 2x + 3x = 5x
7x = 16 + 5x

Solving
7x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7x + -5x = 16 + 5x + -5x

Combine like terms: 7x + -5x = 2x
2x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
2x = 16 + 0
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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