3x(x-3)+5(x+7)-x(x+1)-2(x^2+7)+4=0

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Solution for 3x(x-3)+5(x+7)-x(x+1)-2(x^2+7)+4=0 equation: 


Simplifying
3x(x + -3) + 5(x + 7) + -1x(x + 1) + -2(x2 + 7) + 4 = 0

Reorder the terms:
3x(-3 + x) + 5(x + 7) + -1x(x + 1) + -2(x2 + 7) + 4 = 0
(-3 * 3x + x * 3x) + 5(x + 7) + -1x(x + 1) + -2(x2 + 7) + 4 = 0
(-9x + 3x2) + 5(x + 7) + -1x(x + 1) + -2(x2 + 7) + 4 = 0

Reorder the terms:
-9x + 3x2 + 5(7 + x) + -1x(x + 1) + -2(x2 + 7) + 4 = 0
-9x + 3x2 + (7 * 5 + x * 5) + -1x(x + 1) + -2(x2 + 7) + 4 = 0
-9x + 3x2 + (35 + 5x) + -1x(x + 1) + -2(x2 + 7) + 4 = 0

Reorder the terms:
-9x + 3x2 + 35 + 5x + -1x(1 + x) + -2(x2 + 7) + 4 = 0
-9x + 3x2 + 35 + 5x + (1 * -1x + x * -1x) + -2(x2 + 7) + 4 = 0
-9x + 3x2 + 35 + 5x + (-1x + -1x2) + -2(x2 + 7) + 4 = 0

Reorder the terms:
-9x + 3x2 + 35 + 5x + -1x + -1x2 + -2(7 + x2) + 4 = 0
-9x + 3x2 + 35 + 5x + -1x + -1x2 + (7 * -2 + x2 * -2) + 4 = 0
-9x + 3x2 + 35 + 5x + -1x + -1x2 + (-14 + -2x2) + 4 = 0

Reorder the terms:
35 + -14 + 4 + -9x + 5x + -1x + 3x2 + -1x2 + -2x2 = 0

Combine like terms: 35 + -14 = 21
21 + 4 + -9x + 5x + -1x + 3x2 + -1x2 + -2x2 = 0

Combine like terms: 21 + 4 = 25
25 + -9x + 5x + -1x + 3x2 + -1x2 + -2x2 = 0

Combine like terms: -9x + 5x = -4x
25 + -4x + -1x + 3x2 + -1x2 + -2x2 = 0

Combine like terms: -4x + -1x = -5x
25 + -5x + 3x2 + -1x2 + -2x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
25 + -5x + 2x2 + -2x2 = 0

Combine like terms: 2x2 + -2x2 = 0
25 + -5x + 0 = 0
25 + -5x = 0

Solving
25 + -5x = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + -5x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = 0 + -25
-5x = 0 + -25

Combine like terms: 0 + -25 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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