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

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


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

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

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

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

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

Reorder the terms:
10 + 2x = (-5 + 3x)

Remove parenthesis around (-5 + 3x)
10 + 2x = -5 + 3x

Solving
10 + 2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -5 + 0
10 + -1x = -5

Add '-10' to each side of the equation.
10 + -10 + -1x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -5 + -10
-1x = -5 + -10

Combine like terms: -5 + -10 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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