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

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


Simplifying
2 + 3(x + 4) = 9 + -1(3 + x)

Reorder the terms:
2 + 3(4 + x) = 9 + -1(3 + x)
2 + (4 * 3 + x * 3) = 9 + -1(3 + x)
2 + (12 + 3x) = 9 + -1(3 + x)

Combine like terms: 2 + 12 = 14
14 + 3x = 9 + -1(3 + x)
14 + 3x = 9 + (3 * -1 + x * -1)
14 + 3x = 9 + (-3 + -1x)

Combine like terms: 9 + -3 = 6
14 + 3x = 6 + -1x

Solving
14 + 3x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 3x + x = 6 + -1x + x

Combine like terms: 3x + x = 4x
14 + 4x = 6 + -1x + x

Combine like terms: -1x + x = 0
14 + 4x = 6 + 0
14 + 4x = 6

Add '-14' to each side of the equation.
14 + -14 + 4x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 6 + -14
4x = 6 + -14

Combine like terms: 6 + -14 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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