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

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


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

Reorder the terms:
5(-4 + x) + 3x + -9x = 6 + -2x + -5 + 8
(-4 * 5 + x * 5) + 3x + -9x = 6 + -2x + -5 + 8
(-20 + 5x) + 3x + -9x = 6 + -2x + -5 + 8

Combine like terms: 5x + 3x = 8x
-20 + 8x + -9x = 6 + -2x + -5 + 8

Combine like terms: 8x + -9x = -1x
-20 + -1x = 6 + -2x + -5 + 8

Reorder the terms:
-20 + -1x = 6 + -5 + 8 + -2x

Combine like terms: 6 + -5 = 1
-20 + -1x = 1 + 8 + -2x

Combine like terms: 1 + 8 = 9
-20 + -1x = 9 + -2x

Solving
-20 + -1x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + -1x + 2x = 9 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-20 + 1x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 1x = 9 + 0
-20 + 1x = 9

Add '20' to each side of the equation.
-20 + 20 + 1x = 9 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 9 + 20
1x = 9 + 20

Combine like terms: 9 + 20 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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