5(x+1)2+8(x-1)-220=0

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Solution for 5(x+1)2+8(x-1)-220=0 equation:


Simplifying
5(x + 1) * 2 + 8(x + -1) + -220 = 0

Reorder the terms:
5(1 + x) * 2 + 8(x + -1) + -220 = 0

Reorder the terms for easier multiplication:
5 * 2(1 + x) + 8(x + -1) + -220 = 0

Multiply 5 * 2
10(1 + x) + 8(x + -1) + -220 = 0
(1 * 10 + x * 10) + 8(x + -1) + -220 = 0
(10 + 10x) + 8(x + -1) + -220 = 0

Reorder the terms:
10 + 10x + 8(-1 + x) + -220 = 0
10 + 10x + (-1 * 8 + x * 8) + -220 = 0
10 + 10x + (-8 + 8x) + -220 = 0

Reorder the terms:
10 + -8 + -220 + 10x + 8x = 0

Combine like terms: 10 + -8 = 2
2 + -220 + 10x + 8x = 0

Combine like terms: 2 + -220 = -218
-218 + 10x + 8x = 0

Combine like terms: 10x + 8x = 18x
-218 + 18x = 0

Solving
-218 + 18x = 0

Solving for variable 'x'.

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

Add '218' to each side of the equation.
-218 + 218 + 18x = 0 + 218

Combine like terms: -218 + 218 = 0
0 + 18x = 0 + 218
18x = 0 + 218

Combine like terms: 0 + 218 = 218
18x = 218

Divide each side by '18'.
x = 12.11111111

Simplifying
x = 12.11111111

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