6(x+1)+5=4(x+5)

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Solution for 6(x+1)+5=4(x+5) equation: 


Simplifying
6(x + 1) + 5 = 4(x + 5)

Reorder the terms:
6(1 + x) + 5 = 4(x + 5)
(1 * 6 + x * 6) + 5 = 4(x + 5)
(6 + 6x) + 5 = 4(x + 5)

Reorder the terms:
6 + 5 + 6x = 4(x + 5)

Combine like terms: 6 + 5 = 11
11 + 6x = 4(x + 5)

Reorder the terms:
11 + 6x = 4(5 + x)
11 + 6x = (5 * 4 + x * 4)
11 + 6x = (20 + 4x)

Solving
11 + 6x = 20 + 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.
11 + 6x + -4x = 20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
11 + 2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + 2x = 20 + 0
11 + 2x = 20

Add '-11' to each side of the equation.
11 + -11 + 2x = 20 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 20 + -11
2x = 20 + -11

Combine like terms: 20 + -11 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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