2(x-5)=54-6x

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Solution for 2(x-5)=54-6x equation:


Simplifying
2(x + -5) = 54 + -6x

Reorder the terms:
2(-5 + x) = 54 + -6x
(-5 * 2 + x * 2) = 54 + -6x
(-10 + 2x) = 54 + -6x

Solving
-10 + 2x = 54 + -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.
-10 + 2x + 6x = 54 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-10 + 8x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 8x = 54 + 0
-10 + 8x = 54

Add '10' to each side of the equation.
-10 + 10 + 8x = 54 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 54 + 10
8x = 54 + 10

Combine like terms: 54 + 10 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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