3x+4(x+2)=2(x+9)

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Solution for 3x+4(x+2)=2(x+9) equation:


Simplifying
3x + 4(x + 2) = 2(x + 9)

Reorder the terms:
3x + 4(2 + x) = 2(x + 9)
3x + (2 * 4 + x * 4) = 2(x + 9)
3x + (8 + 4x) = 2(x + 9)

Reorder the terms:
8 + 3x + 4x = 2(x + 9)

Combine like terms: 3x + 4x = 7x
8 + 7x = 2(x + 9)

Reorder the terms:
8 + 7x = 2(9 + x)
8 + 7x = (9 * 2 + x * 2)
8 + 7x = (18 + 2x)

Solving
8 + 7x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 7x + -2x = 18 + 2x + -2x

Combine like terms: 7x + -2x = 5x
8 + 5x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 5x = 18 + 0
8 + 5x = 18

Add '-8' to each side of the equation.
8 + -8 + 5x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 18 + -8
5x = 18 + -8

Combine like terms: 18 + -8 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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