(10x-13)=(7x+5)

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Solution for (10x-13)=(7x+5) equation:


Simplifying
(10x + -13) = (7x + 5)

Reorder the terms:
(-13 + 10x) = (7x + 5)

Remove parenthesis around (-13 + 10x)
-13 + 10x = (7x + 5)

Reorder the terms:
-13 + 10x = (5 + 7x)

Remove parenthesis around (5 + 7x)
-13 + 10x = 5 + 7x

Solving
-13 + 10x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + 10x + -7x = 5 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-13 + 3x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + 3x = 5 + 0
-13 + 3x = 5

Add '13' to each side of the equation.
-13 + 13 + 3x = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 5 + 13
3x = 5 + 13

Combine like terms: 5 + 13 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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