2+4(2x+2)-(3+9x)=4(2+3x)-(1+2x)+2

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Solution for 2+4(2x+2)-(3+9x)=4(2+3x)-(1+2x)+2 equation: 


Simplifying
2 + 4(2x + 2) + -1(3 + 9x) = 4(2 + 3x) + -1(1 + 2x) + 2

Reorder the terms:
2 + 4(2 + 2x) + -1(3 + 9x) = 4(2 + 3x) + -1(1 + 2x) + 2
2 + (2 * 4 + 2x * 4) + -1(3 + 9x) = 4(2 + 3x) + -1(1 + 2x) + 2
2 + (8 + 8x) + -1(3 + 9x) = 4(2 + 3x) + -1(1 + 2x) + 2
2 + 8 + 8x + (3 * -1 + 9x * -1) = 4(2 + 3x) + -1(1 + 2x) + 2
2 + 8 + 8x + (-3 + -9x) = 4(2 + 3x) + -1(1 + 2x) + 2

Reorder the terms:
2 + 8 + -3 + 8x + -9x = 4(2 + 3x) + -1(1 + 2x) + 2

Combine like terms: 2 + 8 = 10
10 + -3 + 8x + -9x = 4(2 + 3x) + -1(1 + 2x) + 2

Combine like terms: 10 + -3 = 7
7 + 8x + -9x = 4(2 + 3x) + -1(1 + 2x) + 2

Combine like terms: 8x + -9x = -1x
7 + -1x = 4(2 + 3x) + -1(1 + 2x) + 2
7 + -1x = (2 * 4 + 3x * 4) + -1(1 + 2x) + 2
7 + -1x = (8 + 12x) + -1(1 + 2x) + 2
7 + -1x = 8 + 12x + (1 * -1 + 2x * -1) + 2
7 + -1x = 8 + 12x + (-1 + -2x) + 2

Reorder the terms:
7 + -1x = 8 + -1 + 2 + 12x + -2x

Combine like terms: 8 + -1 = 7
7 + -1x = 7 + 2 + 12x + -2x

Combine like terms: 7 + 2 = 9
7 + -1x = 9 + 12x + -2x

Combine like terms: 12x + -2x = 10x
7 + -1x = 9 + 10x

Solving
7 + -1x = 9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
7 + -1x + -10x = 9 + 10x + -10x

Combine like terms: -1x + -10x = -11x
7 + -11x = 9 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -11x = 9 + 0
7 + -11x = 9

Add '-7' to each side of the equation.
7 + -7 + -11x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + -11x = 9 + -7
-11x = 9 + -7

Combine like terms: 9 + -7 = 2
-11x = 2

Divide each side by '-11'.
x = -0.1818181818

Simplifying
x = -0.1818181818

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