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

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


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

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

Reorder the terms:
-9 + 6x + (-5 + x) = 2

Remove parenthesis around (-5 + x)
-9 + 6x + -5 + x = 2

Reorder the terms:
-9 + -5 + 6x + x = 2

Combine like terms: -9 + -5 = -14
-14 + 6x + x = 2

Combine like terms: 6x + x = 7x
-14 + 7x = 2

Solving
-14 + 7x = 2

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 7x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 2 + 14
7x = 2 + 14

Combine like terms: 2 + 14 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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