2+3x=5(x-3)

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


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

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

Solving
2 + 3x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 3x + -5x = -15 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + -2x = -15 + 0
2 + -2x = -15

Add '-2' to each side of the equation.
2 + -2 + -2x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -15 + -2
-2x = -15 + -2

Combine like terms: -15 + -2 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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