5+(3X+1)=5(X+1)+3

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Solution for 5+(3X+1)=5(X+1)+3 equation:


Simplifying
5 + (3X + 1) = 5(X + 1) + 3

Reorder the terms:
5 + (1 + 3X) = 5(X + 1) + 3

Remove parenthesis around (1 + 3X)
5 + 1 + 3X = 5(X + 1) + 3

Combine like terms: 5 + 1 = 6
6 + 3X = 5(X + 1) + 3

Reorder the terms:
6 + 3X = 5(1 + X) + 3
6 + 3X = (1 * 5 + X * 5) + 3
6 + 3X = (5 + 5X) + 3

Reorder the terms:
6 + 3X = 5 + 3 + 5X

Combine like terms: 5 + 3 = 8
6 + 3X = 8 + 5X

Solving
6 + 3X = 8 + 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.
6 + 3X + -5X = 8 + 5X + -5X

Combine like terms: 3X + -5X = -2X
6 + -2X = 8 + 5X + -5X

Combine like terms: 5X + -5X = 0
6 + -2X = 8 + 0
6 + -2X = 8

Add '-6' to each side of the equation.
6 + -6 + -2X = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -2X = 8 + -6
-2X = 8 + -6

Combine like terms: 8 + -6 = 2
-2X = 2

Divide each side by '-2'.
X = -1

Simplifying
X = -1

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