9(7x+2)=6-(x+5)

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Solution for 9(7x+2)=6-(x+5) equation:


Simplifying
9(7x + 2) = 6 + -1(x + 5)

Reorder the terms:
9(2 + 7x) = 6 + -1(x + 5)
(2 * 9 + 7x * 9) = 6 + -1(x + 5)
(18 + 63x) = 6 + -1(x + 5)

Reorder the terms:
18 + 63x = 6 + -1(5 + x)
18 + 63x = 6 + (5 * -1 + x * -1)
18 + 63x = 6 + (-5 + -1x)

Combine like terms: 6 + -5 = 1
18 + 63x = 1 + -1x

Solving
18 + 63x = 1 + -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.
18 + 63x + x = 1 + -1x + x

Combine like terms: 63x + x = 64x
18 + 64x = 1 + -1x + x

Combine like terms: -1x + x = 0
18 + 64x = 1 + 0
18 + 64x = 1

Add '-18' to each side of the equation.
18 + -18 + 64x = 1 + -18

Combine like terms: 18 + -18 = 0
0 + 64x = 1 + -18
64x = 1 + -18

Combine like terms: 1 + -18 = -17
64x = -17

Divide each side by '64'.
x = -0.265625

Simplifying
x = -0.265625

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