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

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


Simplifying
3x(x + 5) + -5 = 7 + (3 + 3x2)

Reorder the terms:
3x(5 + x) + -5 = 7 + (3 + 3x2)
(5 * 3x + x * 3x) + -5 = 7 + (3 + 3x2)
(15x + 3x2) + -5 = 7 + (3 + 3x2)

Reorder the terms:
-5 + 15x + 3x2 = 7 + (3 + 3x2)

Remove parenthesis around (3 + 3x2)
-5 + 15x + 3x2 = 7 + 3 + 3x2

Combine like terms: 7 + 3 = 10
-5 + 15x + 3x2 = 10 + 3x2

Add '-3x2' to each side of the equation.
-5 + 15x + 3x2 + -3x2 = 10 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + 15x + 0 = 10 + 3x2 + -3x2
-5 + 15x = 10 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + 15x = 10 + 0
-5 + 15x = 10

Solving
-5 + 15x = 10

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 15x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 15x = 10 + 5
15x = 10 + 5

Combine like terms: 10 + 5 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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