(2x-9)=(4x+1)

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Solution for (2x-9)=(4x+1) equation:


Simplifying
(2x + -9) = (4x + 1)

Reorder the terms:
(-9 + 2x) = (4x + 1)

Remove parenthesis around (-9 + 2x)
-9 + 2x = (4x + 1)

Reorder the terms:
-9 + 2x = (1 + 4x)

Remove parenthesis around (1 + 4x)
-9 + 2x = 1 + 4x

Solving
-9 + 2x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 2x + -4x = 1 + 4x + -4x

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

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

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

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

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

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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