(5x+7)=(6x-10)

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Solution for (5x+7)=(6x-10) equation:


Simplifying
(5x + 7) = (6x + -10)

Reorder the terms:
(7 + 5x) = (6x + -10)

Remove parenthesis around (7 + 5x)
7 + 5x = (6x + -10)

Reorder the terms:
7 + 5x = (-10 + 6x)

Remove parenthesis around (-10 + 6x)
7 + 5x = -10 + 6x

Solving
7 + 5x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + 5x + -6x = -10 + 6x + -6x

Combine like terms: 5x + -6x = -1x
7 + -1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -1x = -10 + 0
7 + -1x = -10

Add '-7' to each side of the equation.
7 + -7 + -1x = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -10 + -7
-1x = -10 + -7

Combine like terms: -10 + -7 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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