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

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


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

Reorder the terms:
6(6 + x) = 5x + 2(x + 1)
(6 * 6 + x * 6) = 5x + 2(x + 1)
(36 + 6x) = 5x + 2(x + 1)

Reorder the terms:
36 + 6x = 5x + 2(1 + x)
36 + 6x = 5x + (1 * 2 + x * 2)
36 + 6x = 5x + (2 + 2x)

Reorder the terms:
36 + 6x = 2 + 5x + 2x

Combine like terms: 5x + 2x = 7x
36 + 6x = 2 + 7x

Solving
36 + 6x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
36 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
36 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + -1x = 2 + 0
36 + -1x = 2

Add '-36' to each side of the equation.
36 + -36 + -1x = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 2 + -36
-1x = 2 + -36

Combine like terms: 2 + -36 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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