x+6=3(3-x)

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Solution for x+6=3(3-x) equation:


Simplifying
x + 6 = 3(3 + -1x)

Reorder the terms:
6 + x = 3(3 + -1x)
6 + x = (3 * 3 + -1x * 3)
6 + x = (9 + -3x)

Solving
6 + x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + x + 3x = 9 + -3x + 3x

Combine like terms: x + 3x = 4x
6 + 4x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 4x = 9 + 0
6 + 4x = 9

Add '-6' to each side of the equation.
6 + -6 + 4x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 9 + -6
4x = 9 + -6

Combine like terms: 9 + -6 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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