(7x-6)+(2x+4)=13

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Solution for (7x-6)+(2x+4)=13 equation:


Simplifying
(7x + -6) + (2x + 4) = 13

Reorder the terms:
(-6 + 7x) + (2x + 4) = 13

Remove parenthesis around (-6 + 7x)
-6 + 7x + (2x + 4) = 13

Reorder the terms:
-6 + 7x + (4 + 2x) = 13

Remove parenthesis around (4 + 2x)
-6 + 7x + 4 + 2x = 13

Reorder the terms:
-6 + 4 + 7x + 2x = 13

Combine like terms: -6 + 4 = -2
-2 + 7x + 2x = 13

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

Solving
-2 + 9x = 13

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 9x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 13 + 2
9x = 13 + 2

Combine like terms: 13 + 2 = 15
9x = 15

Divide each side by '9'.
x = 1.666666667

Simplifying
x = 1.666666667

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