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

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


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

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

Remove parenthesis around (-10 + 3x)
-10 + 3x = (2x + 9)

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

Remove parenthesis around (9 + 2x)
-10 + 3x = 9 + 2x

Solving
-10 + 3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 1x = 9 + 0
-10 + 1x = 9

Add '10' to each side of the equation.
-10 + 10 + 1x = 9 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 9 + 10
1x = 9 + 10

Combine like terms: 9 + 10 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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