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

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


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

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

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

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

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

Multiply 2 * 2
1 + 4x = 9x + 4x

Combine like terms: 9x + 4x = 13x
1 + 4x = 13x

Solving
1 + 4x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
1 + 4x + -13x = 13x + -13x

Combine like terms: 4x + -13x = -9x
1 + -9x = 13x + -13x

Combine like terms: 13x + -13x = 0
1 + -9x = 0

Add '-1' to each side of the equation.
1 + -1 + -9x = 0 + -1

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

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

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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