6x+(x+1)=5(x+1)

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Solution for 6x+(x+1)=5(x+1) equation:


Simplifying
6x + (x + 1) = 5(x + 1)

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

Remove parenthesis around (1 + x)
6x + 1 + x = 5(x + 1)

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

Combine like terms: 6x + x = 7x
1 + 7x = 5(x + 1)

Reorder the terms:
1 + 7x = 5(1 + x)
1 + 7x = (1 * 5 + x * 5)
1 + 7x = (5 + 5x)

Solving
1 + 7x = 5 + 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.
1 + 7x + -5x = 5 + 5x + -5x

Combine like terms: 7x + -5x = 2x
1 + 2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 2x = 5 + 0
1 + 2x = 5

Add '-1' to each side of the equation.
1 + -1 + 2x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 5 + -1
2x = 5 + -1

Combine like terms: 5 + -1 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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