3(2x-3)=13-(3x-5)

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Solution for 3(2x-3)=13-(3x-5) equation:


Simplifying
3(2x + -3) = 13 + -1(3x + -5)

Reorder the terms:
3(-3 + 2x) = 13 + -1(3x + -5)
(-3 * 3 + 2x * 3) = 13 + -1(3x + -5)
(-9 + 6x) = 13 + -1(3x + -5)

Reorder the terms:
-9 + 6x = 13 + -1(-5 + 3x)
-9 + 6x = 13 + (-5 * -1 + 3x * -1)
-9 + 6x = 13 + (5 + -3x)

Combine like terms: 13 + 5 = 18
-9 + 6x = 18 + -3x

Solving
-9 + 6x = 18 + -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.
-9 + 6x + 3x = 18 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-9 + 9x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 9x = 18 + 0
-9 + 9x = 18

Add '9' to each side of the equation.
-9 + 9 + 9x = 18 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 18 + 9
9x = 18 + 9

Combine like terms: 18 + 9 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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