(5x-13)-(6-5x)=7

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Solution for (5x-13)-(6-5x)=7 equation:


Simplifying
(5x + -13) + -1(6 + -5x) = 7

Reorder the terms:
(-13 + 5x) + -1(6 + -5x) = 7

Remove parenthesis around (-13 + 5x)
-13 + 5x + -1(6 + -5x) = 7
-13 + 5x + (6 * -1 + -5x * -1) = 7
-13 + 5x + (-6 + 5x) = 7

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

Combine like terms: -13 + -6 = -19
-19 + 5x + 5x = 7

Combine like terms: 5x + 5x = 10x
-19 + 10x = 7

Solving
-19 + 10x = 7

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 10x = 7 + 19

Combine like terms: -19 + 19 = 0
0 + 10x = 7 + 19
10x = 7 + 19

Combine like terms: 7 + 19 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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