(5x+3)=(6x-7)

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Solution for (5x+3)=(6x-7) equation:


Simplifying
(5x + 3) = (6x + -7)

Reorder the terms:
(3 + 5x) = (6x + -7)

Remove parenthesis around (3 + 5x)
3 + 5x = (6x + -7)

Reorder the terms:
3 + 5x = (-7 + 6x)

Remove parenthesis around (-7 + 6x)
3 + 5x = -7 + 6x

Solving
3 + 5x = -7 + 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.
3 + 5x + -6x = -7 + 6x + -6x

Combine like terms: 5x + -6x = -1x
3 + -1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -1x = -7 + 0
3 + -1x = -7

Add '-3' to each side of the equation.
3 + -3 + -1x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -7 + -3
-1x = -7 + -3

Combine like terms: -7 + -3 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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