5+(3x+1)=5(x+1)+2

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Solution for 5+(3x+1)=5(x+1)+2 equation:


Simplifying
5 + (3x + 1) = 5(x + 1) + 2

Reorder the terms:
5 + (1 + 3x) = 5(x + 1) + 2

Remove parenthesis around (1 + 3x)
5 + 1 + 3x = 5(x + 1) + 2

Combine like terms: 5 + 1 = 6
6 + 3x = 5(x + 1) + 2

Reorder the terms:
6 + 3x = 5(1 + x) + 2
6 + 3x = (1 * 5 + x * 5) + 2
6 + 3x = (5 + 5x) + 2

Reorder the terms:
6 + 3x = 5 + 2 + 5x

Combine like terms: 5 + 2 = 7
6 + 3x = 7 + 5x

Solving
6 + 3x = 7 + 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 = 7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = 7 + 0
6 + -2x = 7

Add '-6' to each side of the equation.
6 + -6 + -2x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 7 + -6
-2x = 7 + -6

Combine like terms: 7 + -6 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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