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

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


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

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

Reorder the terms:
3 + 2x = 3(-5 + 2x)
3 + 2x = (-5 * 3 + 2x * 3)
3 + 2x = (-15 + 6x)

Solving
3 + 2x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 2x + -6x = -15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
3 + -4x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -4x = -15 + 0
3 + -4x = -15

Add '-3' to each side of the equation.
3 + -3 + -4x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -15 + -3
-4x = -15 + -3

Combine like terms: -15 + -3 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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