(5x^2+3x+3)-(5x^2-4)=7x-16

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Solution for (5x^2+3x+3)-(5x^2-4)=7x-16 equation:


Simplifying
(5x2 + 3x + 3) + -1(5x2 + -4) = 7x + -16

Reorder the terms:
(3 + 3x + 5x2) + -1(5x2 + -4) = 7x + -16

Remove parenthesis around (3 + 3x + 5x2)
3 + 3x + 5x2 + -1(5x2 + -4) = 7x + -16

Reorder the terms:
3 + 3x + 5x2 + -1(-4 + 5x2) = 7x + -16
3 + 3x + 5x2 + (-4 * -1 + 5x2 * -1) = 7x + -16
3 + 3x + 5x2 + (4 + -5x2) = 7x + -16

Reorder the terms:
3 + 4 + 3x + 5x2 + -5x2 = 7x + -16

Combine like terms: 3 + 4 = 7
7 + 3x + 5x2 + -5x2 = 7x + -16

Combine like terms: 5x2 + -5x2 = 0
7 + 3x + 0 = 7x + -16
7 + 3x = 7x + -16

Reorder the terms:
7 + 3x = -16 + 7x

Solving
7 + 3x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + 3x + -7x = -16 + 7x + -7x

Combine like terms: 3x + -7x = -4x
7 + -4x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -4x = -16 + 0
7 + -4x = -16

Add '-7' to each side of the equation.
7 + -7 + -4x = -16 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -16 + -7
-4x = -16 + -7

Combine like terms: -16 + -7 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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