5x+2=3(x-1)

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


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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2x = -3 + -2

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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