(6x-1)=(2x+9)

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Solution for (6x-1)=(2x+9) equation:


Simplifying
(6x + -1) = (2x + 9)

Reorder the terms:
(-1 + 6x) = (2x + 9)

Remove parenthesis around (-1 + 6x)
-1 + 6x = (2x + 9)

Reorder the terms:
-1 + 6x = (9 + 2x)

Remove parenthesis around (9 + 2x)
-1 + 6x = 9 + 2x

Solving
-1 + 6x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 6x + -2x = 9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-1 + 4x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 4x = 9 + 0
-1 + 4x = 9

Add '1' to each side of the equation.
-1 + 1 + 4x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 9 + 1
4x = 9 + 1

Combine like terms: 9 + 1 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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