(x+3)=12+2(9-2x)

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Solution for (x+3)=12+2(9-2x) equation:


Simplifying
(x + 3) = 12 + 2(9 + -2x)

Reorder the terms:
(3 + x) = 12 + 2(9 + -2x)

Remove parenthesis around (3 + x)
3 + x = 12 + 2(9 + -2x)
3 + x = 12 + (9 * 2 + -2x * 2)
3 + x = 12 + (18 + -4x)

Combine like terms: 12 + 18 = 30
3 + x = 30 + -4x

Solving
3 + x = 30 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + x + 4x = 30 + -4x + 4x

Combine like terms: x + 4x = 5x
3 + 5x = 30 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 5x = 30 + 0
3 + 5x = 30

Add '-3' to each side of the equation.
3 + -3 + 5x = 30 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 30 + -3
5x = 30 + -3

Combine like terms: 30 + -3 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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