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

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


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

Reorder the terms:
6(-5 + x) + 6 = 6(7 + -1x)
(-5 * 6 + x * 6) + 6 = 6(7 + -1x)
(-30 + 6x) + 6 = 6(7 + -1x)

Reorder the terms:
-30 + 6 + 6x = 6(7 + -1x)

Combine like terms: -30 + 6 = -24
-24 + 6x = 6(7 + -1x)
-24 + 6x = (7 * 6 + -1x * 6)
-24 + 6x = (42 + -6x)

Solving
-24 + 6x = 42 + -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.
-24 + 6x + 6x = 42 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-24 + 12x = 42 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 12x = 42 + 0
-24 + 12x = 42

Add '24' to each side of the equation.
-24 + 24 + 12x = 42 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = 42 + 24
12x = 42 + 24

Combine like terms: 42 + 24 = 66
12x = 66

Divide each side by '12'.
x = 5.5

Simplifying
x = 5.5

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