(3x-5)=(7x+15)

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Solution for (3x-5)=(7x+15) equation:


Simplifying
(3x + -5) = (7x + 15)

Reorder the terms:
(-5 + 3x) = (7x + 15)

Remove parenthesis around (-5 + 3x)
-5 + 3x = (7x + 15)

Reorder the terms:
-5 + 3x = (15 + 7x)

Remove parenthesis around (15 + 7x)
-5 + 3x = 15 + 7x

Solving
-5 + 3x = 15 + 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.
-5 + 3x + -7x = 15 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-5 + -4x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -4x = 15 + 0
-5 + -4x = 15

Add '5' to each side of the equation.
-5 + 5 + -4x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 15 + 5
-4x = 15 + 5

Combine like terms: 15 + 5 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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