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

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


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

Reorder the terms:
6x + -1(-1 + 2x) = 9x + 2(2 + -1x)
6x + (-1 * -1 + 2x * -1) = 9x + 2(2 + -1x)
6x + (1 + -2x) = 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 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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