6(x+1)=5(2x+6)

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Solution for 6(x+1)=5(2x+6) equation:


Simplifying
6(x + 1) = 5(2x + 6)

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

Reorder the terms:
6 + 6x = 5(6 + 2x)
6 + 6x = (6 * 5 + 2x * 5)
6 + 6x = (30 + 10x)

Solving
6 + 6x = 30 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
6 + 6x + -10x = 30 + 10x + -10x

Combine like terms: 6x + -10x = -4x
6 + -4x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -4x = 30 + 0
6 + -4x = 30

Add '-6' to each side of the equation.
6 + -6 + -4x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 30 + -6
-4x = 30 + -6

Combine like terms: 30 + -6 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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