(92x-1)=3(x+2)+3x

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Solution for (92x-1)=3(x+2)+3x equation:


Simplifying
(92x + -1) = 3(x + 2) + 3x

Reorder the terms:
(-1 + 92x) = 3(x + 2) + 3x

Remove parenthesis around (-1 + 92x)
-1 + 92x = 3(x + 2) + 3x

Reorder the terms:
-1 + 92x = 3(2 + x) + 3x
-1 + 92x = (2 * 3 + x * 3) + 3x
-1 + 92x = (6 + 3x) + 3x

Combine like terms: 3x + 3x = 6x
-1 + 92x = 6 + 6x

Solving
-1 + 92x = 6 + 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.
-1 + 92x + -6x = 6 + 6x + -6x

Combine like terms: 92x + -6x = 86x
-1 + 86x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + 86x = 6 + 0
-1 + 86x = 6

Add '1' to each side of the equation.
-1 + 1 + 86x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 86x = 6 + 1
86x = 6 + 1

Combine like terms: 6 + 1 = 7
86x = 7

Divide each side by '86'.
x = 0.08139534884

Simplifying
x = 0.08139534884

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