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

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Solution for 5-(x+3)=3(x+2) equation: 


Simplifying
5 + -1(x + 3) = 3(x + 2)

Reorder the terms:
5 + -1(3 + x) = 3(x + 2)
5 + (3 * -1 + x * -1) = 3(x + 2)
5 + (-3 + -1x) = 3(x + 2)

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

Reorder the terms:
2 + -1x = 3(2 + x)
2 + -1x = (2 * 3 + x * 3)
2 + -1x = (6 + 3x)

Solving
2 + -1x = 6 + 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.
2 + -1x + -3x = 6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
2 + -4x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -4x = 6 + 0
2 + -4x = 6

Add '-2' to each side of the equation.
2 + -2 + -4x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 6 + -2
-4x = 6 + -2

Combine like terms: 6 + -2 = 4
-4x = 4

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

Simplifying
x = -1

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