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

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Solution for 5x+2=3(x-1)-3 equation: 


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

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

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

Reorder the terms:
2 + 5x = -3 + -3 + 3x

Combine like terms: -3 + -3 = -6
2 + 5x = -6 + 3x

Solving
2 + 5x = -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 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
2 + 2x = -6 + 3x + -3x

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

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

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

Combine like terms: -6 + -2 = -8
2x = -8

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

Simplifying
x = -4

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