38+(7x+1)=(10x+9)

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Solution for 38+(7x+1)=(10x+9) equation:


Simplifying
38 + (7x + 1) = (10x + 9)

Reorder the terms:
38 + (1 + 7x) = (10x + 9)

Remove parenthesis around (1 + 7x)
38 + 1 + 7x = (10x + 9)

Combine like terms: 38 + 1 = 39
39 + 7x = (10x + 9)

Reorder the terms:
39 + 7x = (9 + 10x)

Remove parenthesis around (9 + 10x)
39 + 7x = 9 + 10x

Solving
39 + 7x = 9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
39 + 7x + -10x = 9 + 10x + -10x

Combine like terms: 7x + -10x = -3x
39 + -3x = 9 + 10x + -10x

Combine like terms: 10x + -10x = 0
39 + -3x = 9 + 0
39 + -3x = 9

Add '-39' to each side of the equation.
39 + -39 + -3x = 9 + -39

Combine like terms: 39 + -39 = 0
0 + -3x = 9 + -39
-3x = 9 + -39

Combine like terms: 9 + -39 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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