7(x+8)+4=-9(x-9)-1

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Solution for 7(x+8)+4=-9(x-9)-1 equation:


Simplifying
7(x + 8) + 4 = -9(x + -9) + -1

Reorder the terms:
7(8 + x) + 4 = -9(x + -9) + -1
(8 * 7 + x * 7) + 4 = -9(x + -9) + -1
(56 + 7x) + 4 = -9(x + -9) + -1

Reorder the terms:
56 + 4 + 7x = -9(x + -9) + -1

Combine like terms: 56 + 4 = 60
60 + 7x = -9(x + -9) + -1

Reorder the terms:
60 + 7x = -9(-9 + x) + -1
60 + 7x = (-9 * -9 + x * -9) + -1
60 + 7x = (81 + -9x) + -1

Reorder the terms:
60 + 7x = 81 + -1 + -9x

Combine like terms: 81 + -1 = 80
60 + 7x = 80 + -9x

Solving
60 + 7x = 80 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
60 + 7x + 9x = 80 + -9x + 9x

Combine like terms: 7x + 9x = 16x
60 + 16x = 80 + -9x + 9x

Combine like terms: -9x + 9x = 0
60 + 16x = 80 + 0
60 + 16x = 80

Add '-60' to each side of the equation.
60 + -60 + 16x = 80 + -60

Combine like terms: 60 + -60 = 0
0 + 16x = 80 + -60
16x = 80 + -60

Combine like terms: 80 + -60 = 20
16x = 20

Divide each side by '16'.
x = 1.25

Simplifying
x = 1.25

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