2x+3=5(x-3)

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


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

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

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

Solving
3 + 2x = -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.
3 + 2x + -5x = -15 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
3 + -3x = -15 + 0
3 + -3x = -15

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

Combine like terms: 3 + -3 = 0
0 + -3x = -15 + -3
-3x = -15 + -3

Combine like terms: -15 + -3 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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