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

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


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

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

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

Reorder the terms:
4 + 2x = -9 + 9 + 3x

Combine like terms: -9 + 9 = 0
4 + 2x = 0 + 3x
4 + 2x = 3x

Solving
4 + 2x = 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.
4 + 2x + -3x = 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = 0

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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