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

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


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

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

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

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

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

Reorder the terms:
-3 + 3x = 3(-5 + 3x)
-3 + 3x = (-5 * 3 + 3x * 3)
-3 + 3x = (-15 + 9x)

Solving
-3 + 3x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-3 + 3x + -9x = -15 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-3 + -6x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + -6x = -15 + 0
-3 + -6x = -15

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

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

Combine like terms: -15 + 3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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