(3x+10)=(5x-5)

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Solution for (3x+10)=(5x-5) equation:


Simplifying
(3x + 10) = (5x + -5)

Reorder the terms:
(10 + 3x) = (5x + -5)

Remove parenthesis around (10 + 3x)
10 + 3x = (5x + -5)

Reorder the terms:
10 + 3x = (-5 + 5x)

Remove parenthesis around (-5 + 5x)
10 + 3x = -5 + 5x

Solving
10 + 3x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 3x + -5x = -5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
10 + -2x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -2x = -5 + 0
10 + -2x = -5

Add '-10' to each side of the equation.
10 + -10 + -2x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -5 + -10
-2x = -5 + -10

Combine like terms: -5 + -10 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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