3x+4(x+2)=5(x+2)

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Solution for 3x+4(x+2)=5(x+2) equation:


Simplifying
3x + 4(x + 2) = 5(x + 2)

Reorder the terms:
3x + 4(2 + x) = 5(x + 2)
3x + (2 * 4 + x * 4) = 5(x + 2)
3x + (8 + 4x) = 5(x + 2)

Reorder the terms:
8 + 3x + 4x = 5(x + 2)

Combine like terms: 3x + 4x = 7x
8 + 7x = 5(x + 2)

Reorder the terms:
8 + 7x = 5(2 + x)
8 + 7x = (2 * 5 + x * 5)
8 + 7x = (10 + 5x)

Solving
8 + 7x = 10 + 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.
8 + 7x + -5x = 10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
8 + 2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 2x = 10 + 0
8 + 2x = 10

Add '-8' to each side of the equation.
8 + -8 + 2x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 10 + -8
2x = 10 + -8

Combine like terms: 10 + -8 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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