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

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


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

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

Reorder the terms:
5 + 5x = 6(2 + x)
5 + 5x = (2 * 6 + x * 6)
5 + 5x = (12 + 6x)

Solving
5 + 5x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 5x + -6x = 12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
5 + -1x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -1x = 12 + 0
5 + -1x = 12

Add '-5' to each side of the equation.
5 + -5 + -1x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 12 + -5
-1x = 12 + -5

Combine like terms: 12 + -5 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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