x(x-10)+x(x+2)+3=2x(x+1)-7

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Solution for x(x-10)+x(x+2)+3=2x(x+1)-7 equation: 


Simplifying
x(x + -10) + x(x + 2) + 3 = 2x(x + 1) + -7

Reorder the terms:
x(-10 + x) + x(x + 2) + 3 = 2x(x + 1) + -7
(-10 * x + x * x) + x(x + 2) + 3 = 2x(x + 1) + -7
(-10x + x2) + x(x + 2) + 3 = 2x(x + 1) + -7

Reorder the terms:
-10x + x2 + x(2 + x) + 3 = 2x(x + 1) + -7
-10x + x2 + (2 * x + x * x) + 3 = 2x(x + 1) + -7
-10x + x2 + (2x + x2) + 3 = 2x(x + 1) + -7

Reorder the terms:
3 + -10x + 2x + x2 + x2 = 2x(x + 1) + -7

Combine like terms: -10x + 2x = -8x
3 + -8x + x2 + x2 = 2x(x + 1) + -7

Combine like terms: x2 + x2 = 2x2
3 + -8x + 2x2 = 2x(x + 1) + -7

Reorder the terms:
3 + -8x + 2x2 = 2x(1 + x) + -7
3 + -8x + 2x2 = (1 * 2x + x * 2x) + -7
3 + -8x + 2x2 = (2x + 2x2) + -7

Reorder the terms:
3 + -8x + 2x2 = -7 + 2x + 2x2

Add '-2x2' to each side of the equation.
3 + -8x + 2x2 + -2x2 = -7 + 2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + -8x + 0 = -7 + 2x + 2x2 + -2x2
3 + -8x = -7 + 2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + -8x = -7 + 2x + 0
3 + -8x = -7 + 2x

Solving
3 + -8x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -8x + -2x = -7 + 2x + -2x

Combine like terms: -8x + -2x = -10x
3 + -10x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -10x = -7 + 0
3 + -10x = -7

Add '-3' to each side of the equation.
3 + -3 + -10x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = -7 + -3
-10x = -7 + -3

Combine like terms: -7 + -3 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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