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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -1x = 3x + 3(x + 4)

Reorder the terms:
5 + -1x = 3x + 3(4 + x)
5 + -1x = 3x + (4 * 3 + x * 3)
5 + -1x = 3x + (12 + 3x)

Reorder the terms:
5 + -1x = 12 + 3x + 3x

Combine like terms: 3x + 3x = 6x
5 + -1x = 12 + 6x

Solving
5 + -1x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + -1x + -6x = 12 + 6x + -6x

Combine like terms: -1x + -6x = -7x
5 + -7x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -7x = 12 + 0
5 + -7x = 12

Add '-5' to each side of the equation.
5 + -5 + -7x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 12 + -5
-7x = 12 + -5

Combine like terms: 12 + -5 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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