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

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


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

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

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

Combine like terms: 2 + 1 = 3
3 + 2x = 1 + -2(X + -9)

Reorder the terms:
3 + 2x = 1 + -2(-9 + X)
3 + 2x = 1 + (-9 * -2 + X * -2)
3 + 2x = 1 + (18 + -2X)

Combine like terms: 1 + 18 = 19
3 + 2x = 19 + -2X

Solving
3 + 2x = 19 + -2X

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 19 + -3 + -2X

Combine like terms: 3 + -3 = 0
0 + 2x = 19 + -3 + -2X
2x = 19 + -3 + -2X

Combine like terms: 19 + -3 = 16
2x = 16 + -2X

Divide each side by '2'.
x = 8 + -1X

Simplifying
x = 8 + -1X

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