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

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


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

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

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

Reorder the terms:
3 + x + x = 3x + -5

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

Reorder the terms:
3 + 2x = -5 + 3x

Solving
3 + 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.
3 + 2x + -3x = -5 + 3x + -3x

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

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

Add '-3' to each side of the equation.
3 + -3 + -1x = -5 + -3

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

Combine like terms: -5 + -3 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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