10x-2=9(x+3)+9

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Solution for 10x-2=9(x+3)+9 equation:


Simplifying
10x + -2 = 9(x + 3) + 9

Reorder the terms:
-2 + 10x = 9(x + 3) + 9

Reorder the terms:
-2 + 10x = 9(3 + x) + 9
-2 + 10x = (3 * 9 + x * 9) + 9
-2 + 10x = (27 + 9x) + 9

Reorder the terms:
-2 + 10x = 27 + 9 + 9x

Combine like terms: 27 + 9 = 36
-2 + 10x = 36 + 9x

Solving
-2 + 10x = 36 + 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.
-2 + 10x + -9x = 36 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-2 + 1x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + 1x = 36 + 0
-2 + 1x = 36

Add '2' to each side of the equation.
-2 + 2 + 1x = 36 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 36 + 2
1x = 36 + 2

Combine like terms: 36 + 2 = 38
1x = 38

Divide each side by '1'.
x = 38

Simplifying
x = 38

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