9(x-3)+x=(x-4)+13

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Solution for 9(x-3)+x=(x-4)+13 equation:


Simplifying
9(x + -3) + x = (x + -4) + 13

Reorder the terms:
9(-3 + x) + x = (x + -4) + 13
(-3 * 9 + x * 9) + x = (x + -4) + 13
(-27 + 9x) + x = (x + -4) + 13

Combine like terms: 9x + x = 10x
-27 + 10x = (x + -4) + 13

Reorder the terms:
-27 + 10x = (-4 + x) + 13

Remove parenthesis around (-4 + x)
-27 + 10x = -4 + x + 13

Reorder the terms:
-27 + 10x = -4 + 13 + x

Combine like terms: -4 + 13 = 9
-27 + 10x = 9 + x

Solving
-27 + 10x = 9 + 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.
-27 + 10x + -1x = 9 + x + -1x

Combine like terms: 10x + -1x = 9x
-27 + 9x = 9 + x + -1x

Combine like terms: x + -1x = 0
-27 + 9x = 9 + 0
-27 + 9x = 9

Add '27' to each side of the equation.
-27 + 27 + 9x = 9 + 27

Combine like terms: -27 + 27 = 0
0 + 9x = 9 + 27
9x = 9 + 27

Combine like terms: 9 + 27 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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