(8x^2+5x+1)-(8x^2+5)=8x+3

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Solution for (8x^2+5x+1)-(8x^2+5)=8x+3 equation:


Simplifying
(8x2 + 5x + 1) + -1(8x2 + 5) = 8x + 3

Reorder the terms:
(1 + 5x + 8x2) + -1(8x2 + 5) = 8x + 3

Remove parenthesis around (1 + 5x + 8x2)
1 + 5x + 8x2 + -1(8x2 + 5) = 8x + 3

Reorder the terms:
1 + 5x + 8x2 + -1(5 + 8x2) = 8x + 3
1 + 5x + 8x2 + (5 * -1 + 8x2 * -1) = 8x + 3
1 + 5x + 8x2 + (-5 + -8x2) = 8x + 3

Reorder the terms:
1 + -5 + 5x + 8x2 + -8x2 = 8x + 3

Combine like terms: 1 + -5 = -4
-4 + 5x + 8x2 + -8x2 = 8x + 3

Combine like terms: 8x2 + -8x2 = 0
-4 + 5x + 0 = 8x + 3
-4 + 5x = 8x + 3

Reorder the terms:
-4 + 5x = 3 + 8x

Solving
-4 + 5x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 5x + -8x = 3 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -3x = 3 + 0
-4 + -3x = 3

Add '4' to each side of the equation.
-4 + 4 + -3x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 3 + 4
-3x = 3 + 4

Combine like terms: 3 + 4 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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