3(x-4)-5=5x-x+9

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


Simplifying
3(x + -4) + -5 = 5x + -1x + 9

Reorder the terms:
3(-4 + x) + -5 = 5x + -1x + 9
(-4 * 3 + x * 3) + -5 = 5x + -1x + 9
(-12 + 3x) + -5 = 5x + -1x + 9

Reorder the terms:
-12 + -5 + 3x = 5x + -1x + 9

Combine like terms: -12 + -5 = -17
-17 + 3x = 5x + -1x + 9

Reorder the terms:
-17 + 3x = 9 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-17 + 3x = 9 + 4x

Solving
-17 + 3x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-17 + 3x + -4x = 9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-17 + -1x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-17 + -1x = 9 + 0
-17 + -1x = 9

Add '17' to each side of the equation.
-17 + 17 + -1x = 9 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 9 + 17
-1x = 9 + 17

Combine like terms: 9 + 17 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26

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