2(x-3)-54=3-5x

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Solution for 2(x-3)-54=3-5x equation:


Simplifying
2(x + -3) + -54 = 3 + -5x

Reorder the terms:
2(-3 + x) + -54 = 3 + -5x
(-3 * 2 + x * 2) + -54 = 3 + -5x
(-6 + 2x) + -54 = 3 + -5x

Reorder the terms:
-6 + -54 + 2x = 3 + -5x

Combine like terms: -6 + -54 = -60
-60 + 2x = 3 + -5x

Solving
-60 + 2x = 3 + -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.
-60 + 2x + 5x = 3 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-60 + 7x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-60 + 7x = 3 + 0
-60 + 7x = 3

Add '60' to each side of the equation.
-60 + 60 + 7x = 3 + 60

Combine like terms: -60 + 60 = 0
0 + 7x = 3 + 60
7x = 3 + 60

Combine like terms: 3 + 60 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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