8x(x-3)+x(x-5)+7x+4=9(x^2+1)-7(x+6)-5

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Solution for 8x(x-3)+x(x-5)+7x+4=9(x^2+1)-7(x+6)-5 equation: 


Simplifying
8x(x + -3) + x(x + -5) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5

Reorder the terms:
8x(-3 + x) + x(x + -5) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5
(-3 * 8x + x * 8x) + x(x + -5) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5
(-24x + 8x2) + x(x + -5) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5

Reorder the terms:
-24x + 8x2 + x(-5 + x) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5
-24x + 8x2 + (-5 * x + x * x) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5
-24x + 8x2 + (-5x + x2) + 7x + 4 = 9(x2 + 1) + -7(x + 6) + -5

Reorder the terms:
4 + -24x + -5x + 7x + 8x2 + x2 = 9(x2 + 1) + -7(x + 6) + -5

Combine like terms: -24x + -5x = -29x
4 + -29x + 7x + 8x2 + x2 = 9(x2 + 1) + -7(x + 6) + -5

Combine like terms: -29x + 7x = -22x
4 + -22x + 8x2 + x2 = 9(x2 + 1) + -7(x + 6) + -5

Combine like terms: 8x2 + x2 = 9x2
4 + -22x + 9x2 = 9(x2 + 1) + -7(x + 6) + -5

Reorder the terms:
4 + -22x + 9x2 = 9(1 + x2) + -7(x + 6) + -5
4 + -22x + 9x2 = (1 * 9 + x2 * 9) + -7(x + 6) + -5
4 + -22x + 9x2 = (9 + 9x2) + -7(x + 6) + -5

Reorder the terms:
4 + -22x + 9x2 = 9 + 9x2 + -7(6 + x) + -5
4 + -22x + 9x2 = 9 + 9x2 + (6 * -7 + x * -7) + -5
4 + -22x + 9x2 = 9 + 9x2 + (-42 + -7x) + -5

Reorder the terms:
4 + -22x + 9x2 = 9 + -42 + -5 + -7x + 9x2

Combine like terms: 9 + -42 = -33
4 + -22x + 9x2 = -33 + -5 + -7x + 9x2

Combine like terms: -33 + -5 = -38
4 + -22x + 9x2 = -38 + -7x + 9x2

Add '-9x2' to each side of the equation.
4 + -22x + 9x2 + -9x2 = -38 + -7x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
4 + -22x + 0 = -38 + -7x + 9x2 + -9x2
4 + -22x = -38 + -7x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
4 + -22x = -38 + -7x + 0
4 + -22x = -38 + -7x

Solving
4 + -22x = -38 + -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.
4 + -22x + 7x = -38 + -7x + 7x

Combine like terms: -22x + 7x = -15x
4 + -15x = -38 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + -15x = -38 + 0
4 + -15x = -38

Add '-4' to each side of the equation.
4 + -4 + -15x = -38 + -4

Combine like terms: 4 + -4 = 0
0 + -15x = -38 + -4
-15x = -38 + -4

Combine like terms: -38 + -4 = -42
-15x = -42

Divide each side by '-15'.
x = 2.8

Simplifying
x = 2.8

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