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

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


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

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

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

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

Combine like terms: 9x + -2x = 7x
-1 + 4x = 4 + 7x

Solving
-1 + 4x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-1 + 4x + -7x = 4 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-1 + -3x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + -3x = 4 + 0
-1 + -3x = 4

Add '1' to each side of the equation.
-1 + 1 + -3x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 4 + 1
-3x = 4 + 1

Combine like terms: 4 + 1 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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