(5x^2+7x+4)-(5x^2-5)=9x-2

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Solution for (5x^2+7x+4)-(5x^2-5)=9x-2 equation:


Simplifying
(5x2 + 7x + 4) + -1(5x2 + -5) = 9x + -2

Reorder the terms:
(4 + 7x + 5x2) + -1(5x2 + -5) = 9x + -2

Remove parenthesis around (4 + 7x + 5x2)
4 + 7x + 5x2 + -1(5x2 + -5) = 9x + -2

Reorder the terms:
4 + 7x + 5x2 + -1(-5 + 5x2) = 9x + -2
4 + 7x + 5x2 + (-5 * -1 + 5x2 * -1) = 9x + -2
4 + 7x + 5x2 + (5 + -5x2) = 9x + -2

Reorder the terms:
4 + 5 + 7x + 5x2 + -5x2 = 9x + -2

Combine like terms: 4 + 5 = 9
9 + 7x + 5x2 + -5x2 = 9x + -2

Combine like terms: 5x2 + -5x2 = 0
9 + 7x + 0 = 9x + -2
9 + 7x = 9x + -2

Reorder the terms:
9 + 7x = -2 + 9x

Solving
9 + 7x = -2 + 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.
9 + 7x + -9x = -2 + 9x + -9x

Combine like terms: 7x + -9x = -2x
9 + -2x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
9 + -2x = -2 + 0
9 + -2x = -2

Add '-9' to each side of the equation.
9 + -9 + -2x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -2 + -9
-2x = -2 + -9

Combine like terms: -2 + -9 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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