4x-9=-2x+1

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


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

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

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

Solving
-9 + 4x = 1 + -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.
-9 + 4x + 2x = 1 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-9 + 6x = 1 + 0
-9 + 6x = 1

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

Combine like terms: -9 + 9 = 0
0 + 6x = 1 + 9
6x = 1 + 9

Combine like terms: 1 + 9 = 10
6x = 10

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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