38+(x-3)=9(x-1)

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Solution for 38+(x-3)=9(x-1) equation:


Simplifying
38 + (x + -3) = 9(x + -1)

Reorder the terms:
38 + (-3 + x) = 9(x + -1)

Remove parenthesis around (-3 + x)
38 + -3 + x = 9(x + -1)

Combine like terms: 38 + -3 = 35
35 + x = 9(x + -1)

Reorder the terms:
35 + x = 9(-1 + x)
35 + x = (-1 * 9 + x * 9)
35 + x = (-9 + 9x)

Solving
35 + x = -9 + 9x

Solving for variable 'x'.

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

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

Combine like terms: x + -9x = -8x
35 + -8x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
35 + -8x = -9 + 0
35 + -8x = -9

Add '-35' to each side of the equation.
35 + -35 + -8x = -9 + -35

Combine like terms: 35 + -35 = 0
0 + -8x = -9 + -35
-8x = -9 + -35

Combine like terms: -9 + -35 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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