6(x+1)=5(x+7)

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Solution for 6(x+1)=5(x+7) equation:


Simplifying
6(x + 1) = 5(x + 7)

Reorder the terms:
6(1 + x) = 5(x + 7)
(1 * 6 + x * 6) = 5(x + 7)
(6 + 6x) = 5(x + 7)

Reorder the terms:
6 + 6x = 5(7 + x)
6 + 6x = (7 * 5 + x * 5)
6 + 6x = (35 + 5x)

Solving
6 + 6x = 35 + 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 + 6x + -5x = 35 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = 35 + 0
6 + 1x = 35

Add '-6' to each side of the equation.
6 + -6 + 1x = 35 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 35 + -6
1x = 35 + -6

Combine like terms: 35 + -6 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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