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

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


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

Reorder the terms:
5(-3 + x) + 2 = (3x + -2)
(-3 * 5 + x * 5) + 2 = (3x + -2)
(-15 + 5x) + 2 = (3x + -2)

Reorder the terms:
-15 + 2 + 5x = (3x + -2)

Combine like terms: -15 + 2 = -13
-13 + 5x = (3x + -2)

Reorder the terms:
-13 + 5x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)
-13 + 5x = -2 + 3x

Solving
-13 + 5x = -2 + 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.
-13 + 5x + -3x = -2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-13 + 2x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 2x = -2 + 0
-13 + 2x = -2

Add '13' to each side of the equation.
-13 + 13 + 2x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = -2 + 13
2x = -2 + 13

Combine like terms: -2 + 13 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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