7x-5+2x=13-3x+6

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Solution for 7x-5+2x=13-3x+6 equation:


Simplifying
7x + -5 + 2x = 13 + -3x + 6

Reorder the terms:
-5 + 7x + 2x = 13 + -3x + 6

Combine like terms: 7x + 2x = 9x
-5 + 9x = 13 + -3x + 6

Reorder the terms:
-5 + 9x = 13 + 6 + -3x

Combine like terms: 13 + 6 = 19
-5 + 9x = 19 + -3x

Solving
-5 + 9x = 19 + -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.
-5 + 9x + 3x = 19 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-5 + 12x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 12x = 19 + 0
-5 + 12x = 19

Add '5' to each side of the equation.
-5 + 5 + 12x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 19 + 5
12x = 19 + 5

Combine like terms: 19 + 5 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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