x+(5-x)=3(x+1)+x

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Solution for x+(5-x)=3(x+1)+x equation:


Simplifying
x + (5 + -1x) = 3(x + 1) + x

Remove parenthesis around (5 + -1x)
x + 5 + -1x = 3(x + 1) + x

Reorder the terms:
5 + x + -1x = 3(x + 1) + x

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

Reorder the terms:
5 = 3(1 + x) + x
5 = (1 * 3 + x * 3) + x
5 = (3 + 3x) + x

Combine like terms: 3x + x = 4x
5 = 3 + 4x

Solving
5 = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -4x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -4x = 3 + 0
5 + -4x = 3

Add '-5' to each side of the equation.
5 + -5 + -4x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 3 + -5
-4x = 3 + -5

Combine like terms: 3 + -5 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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