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

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


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

Reorder the terms:
4(-9 + x) = (x + -5) + 9
(-9 * 4 + x * 4) = (x + -5) + 9
(-36 + 4x) = (x + -5) + 9

Reorder the terms:
-36 + 4x = (-5 + x) + 9

Remove parenthesis around (-5 + x)
-36 + 4x = -5 + x + 9

Reorder the terms:
-36 + 4x = -5 + 9 + x

Combine like terms: -5 + 9 = 4
-36 + 4x = 4 + x

Solving
-36 + 4x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + 4x + -1x = 4 + x + -1x

Combine like terms: 4x + -1x = 3x
-36 + 3x = 4 + x + -1x

Combine like terms: x + -1x = 0
-36 + 3x = 4 + 0
-36 + 3x = 4

Add '36' to each side of the equation.
-36 + 36 + 3x = 4 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = 4 + 36
3x = 4 + 36

Combine like terms: 4 + 36 = 40
3x = 40

Divide each side by '3'.
x = 13.33333333

Simplifying
x = 13.33333333

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