6(4+x)-9=27-(x+5)

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Solution for 6(4+x)-9=27-(x+5) equation:


Simplifying
6(4 + x) + -9 = 27 + -1(x + 5)
(4 * 6 + x * 6) + -9 = 27 + -1(x + 5)
(24 + 6x) + -9 = 27 + -1(x + 5)

Reorder the terms:
24 + -9 + 6x = 27 + -1(x + 5)

Combine like terms: 24 + -9 = 15
15 + 6x = 27 + -1(x + 5)

Reorder the terms:
15 + 6x = 27 + -1(5 + x)
15 + 6x = 27 + (5 * -1 + x * -1)
15 + 6x = 27 + (-5 + -1x)

Combine like terms: 27 + -5 = 22
15 + 6x = 22 + -1x

Solving
15 + 6x = 22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + 6x + x = 22 + -1x + x

Combine like terms: 6x + x = 7x
15 + 7x = 22 + -1x + x

Combine like terms: -1x + x = 0
15 + 7x = 22 + 0
15 + 7x = 22

Add '-15' to each side of the equation.
15 + -15 + 7x = 22 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = 22 + -15
7x = 22 + -15

Combine like terms: 22 + -15 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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