10x-19=3x+2

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Solution for 10x-19=3x+2 equation:


Simplifying
10x + -19 = 3x + 2

Reorder the terms:
-19 + 10x = 3x + 2

Reorder the terms:
-19 + 10x = 2 + 3x

Solving
-19 + 10x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-19 + 10x + -3x = 2 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-19 + 7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 7x = 2 + 0
-19 + 7x = 2

Add '19' to each side of the equation.
-19 + 19 + 7x = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 7x = 2 + 19
7x = 2 + 19

Combine like terms: 2 + 19 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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