x+8-4x+9=8(4+2x)-11(2x+3)

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Solution for x+8-4x+9=8(4+2x)-11(2x+3) equation:


Simplifying
x + 8 + -4x + 9 = 8(4 + 2x) + -11(2x + 3)

Reorder the terms:
8 + 9 + x + -4x = 8(4 + 2x) + -11(2x + 3)

Combine like terms: 8 + 9 = 17
17 + x + -4x = 8(4 + 2x) + -11(2x + 3)

Combine like terms: x + -4x = -3x
17 + -3x = 8(4 + 2x) + -11(2x + 3)
17 + -3x = (4 * 8 + 2x * 8) + -11(2x + 3)
17 + -3x = (32 + 16x) + -11(2x + 3)

Reorder the terms:
17 + -3x = 32 + 16x + -11(3 + 2x)
17 + -3x = 32 + 16x + (3 * -11 + 2x * -11)
17 + -3x = 32 + 16x + (-33 + -22x)

Reorder the terms:
17 + -3x = 32 + -33 + 16x + -22x

Combine like terms: 32 + -33 = -1
17 + -3x = -1 + 16x + -22x

Combine like terms: 16x + -22x = -6x
17 + -3x = -1 + -6x

Solving
17 + -3x = -1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + -3x + 6x = -1 + -6x + 6x

Combine like terms: -3x + 6x = 3x
17 + 3x = -1 + -6x + 6x

Combine like terms: -6x + 6x = 0
17 + 3x = -1 + 0
17 + 3x = -1

Add '-17' to each side of the equation.
17 + -17 + 3x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = -1 + -17
3x = -1 + -17

Combine like terms: -1 + -17 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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