2(5x-46)=x-2

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Solution for 2(5x-46)=x-2 equation:


Simplifying
2(5x + -46) = x + -2

Reorder the terms:
2(-46 + 5x) = x + -2
(-46 * 2 + 5x * 2) = x + -2
(-92 + 10x) = x + -2

Reorder the terms:
-92 + 10x = -2 + x

Solving
-92 + 10x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-92 + 10x + -1x = -2 + x + -1x

Combine like terms: 10x + -1x = 9x
-92 + 9x = -2 + x + -1x

Combine like terms: x + -1x = 0
-92 + 9x = -2 + 0
-92 + 9x = -2

Add '92' to each side of the equation.
-92 + 92 + 9x = -2 + 92

Combine like terms: -92 + 92 = 0
0 + 9x = -2 + 92
9x = -2 + 92

Combine like terms: -2 + 92 = 90
9x = 90

Divide each side by '9'.
x = 10

Simplifying
x = 10

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