-x+4x-2(x-8+9)-16+x-5=4x-5+6(4x-5+9)+18-3x

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Solution for -x+4x-2(x-8+9)-16+x-5=4x-5+6(4x-5+9)+18-3x equation:


Simplifying
-1x + 4x + -2(x + -8 + 9) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Reorder the terms:
-1x + 4x + -2(-8 + 9 + x) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Combine like terms: -8 + 9 = 1
-1x + 4x + -2(1 + x) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x
-1x + 4x + (1 * -2 + x * -2) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x
-1x + 4x + (-2 + -2x) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Reorder the terms:
-2 + -16 + -5 + -1x + 4x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Combine like terms: -2 + -16 = -18
-18 + -5 + -1x + 4x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Combine like terms: -18 + -5 = -23
-23 + -1x + 4x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Combine like terms: -1x + 4x = 3x
-23 + 3x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Combine like terms: 3x + -2x = 1x
-23 + 1x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Combine like terms: 1x + x = 2x
-23 + 2x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x

Reorder the terms:
-23 + 2x = 4x + -5 + 6(-5 + 9 + 4x) + 18 + -3x

Combine like terms: -5 + 9 = 4
-23 + 2x = 4x + -5 + 6(4 + 4x) + 18 + -3x
-23 + 2x = 4x + -5 + (4 * 6 + 4x * 6) + 18 + -3x
-23 + 2x = 4x + -5 + (24 + 24x) + 18 + -3x

Reorder the terms:
-23 + 2x = -5 + 24 + 18 + 4x + 24x + -3x

Combine like terms: -5 + 24 = 19
-23 + 2x = 19 + 18 + 4x + 24x + -3x

Combine like terms: 19 + 18 = 37
-23 + 2x = 37 + 4x + 24x + -3x

Combine like terms: 4x + 24x = 28x
-23 + 2x = 37 + 28x + -3x

Combine like terms: 28x + -3x = 25x
-23 + 2x = 37 + 25x

Solving
-23 + 2x = 37 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-23 + 2x + -25x = 37 + 25x + -25x

Combine like terms: 2x + -25x = -23x
-23 + -23x = 37 + 25x + -25x

Combine like terms: 25x + -25x = 0
-23 + -23x = 37 + 0
-23 + -23x = 37

Add '23' to each side of the equation.
-23 + 23 + -23x = 37 + 23

Combine like terms: -23 + 23 = 0
0 + -23x = 37 + 23
-23x = 37 + 23

Combine like terms: 37 + 23 = 60
-23x = 60

Divide each side by '-23'.
x = -2.608695652

Simplifying
x = -2.608695652

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