3x+4-9x=11-(x+18)+1

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Solution for 3x+4-9x=11-(x+18)+1 equation:


Simplifying
3x + 4 + -9x = 11 + -1(x + 18) + 1

Reorder the terms:
4 + 3x + -9x = 11 + -1(x + 18) + 1

Combine like terms: 3x + -9x = -6x
4 + -6x = 11 + -1(x + 18) + 1

Reorder the terms:
4 + -6x = 11 + -1(18 + x) + 1
4 + -6x = 11 + (18 * -1 + x * -1) + 1
4 + -6x = 11 + (-18 + -1x) + 1

Reorder the terms:
4 + -6x = 11 + -18 + 1 + -1x

Combine like terms: 11 + -18 = -7
4 + -6x = -7 + 1 + -1x

Combine like terms: -7 + 1 = -6
4 + -6x = -6 + -1x

Solving
4 + -6x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + -6x + x = -6 + -1x + x

Combine like terms: -6x + x = -5x
4 + -5x = -6 + -1x + x

Combine like terms: -1x + x = 0
4 + -5x = -6 + 0
4 + -5x = -6

Add '-4' to each side of the equation.
4 + -4 + -5x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -6 + -4
-5x = -6 + -4

Combine like terms: -6 + -4 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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