9x+11(1-2x)=4-9(x+1)

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Solution for 9x+11(1-2x)=4-9(x+1) equation: 


Simplifying
9x + 11(1 + -2x) = 4 + -9(x + 1)
9x + (1 * 11 + -2x * 11) = 4 + -9(x + 1)
9x + (11 + -22x) = 4 + -9(x + 1)

Reorder the terms:
11 + 9x + -22x = 4 + -9(x + 1)

Combine like terms: 9x + -22x = -13x
11 + -13x = 4 + -9(x + 1)

Reorder the terms:
11 + -13x = 4 + -9(1 + x)
11 + -13x = 4 + (1 * -9 + x * -9)
11 + -13x = 4 + (-9 + -9x)

Combine like terms: 4 + -9 = -5
11 + -13x = -5 + -9x

Solving
11 + -13x = -5 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
11 + -13x + 9x = -5 + -9x + 9x

Combine like terms: -13x + 9x = -4x
11 + -4x = -5 + -9x + 9x

Combine like terms: -9x + 9x = 0
11 + -4x = -5 + 0
11 + -4x = -5

Add '-11' to each side of the equation.
11 + -11 + -4x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -5 + -11
-4x = -5 + -11

Combine like terms: -5 + -11 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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