-7x(x+1)-x-10=-8(x+5)+23

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Solution for -7x(x+1)-x-10=-8(x+5)+23 equation: 


Simplifying
-7x(x + 1) + -1x + -10 = -8(x + 5) + 23

Reorder the terms:
-7x(1 + x) + -1x + -10 = -8(x + 5) + 23
(1 * -7x + x * -7x) + -1x + -10 = -8(x + 5) + 23
(-7x + -7x2) + -1x + -10 = -8(x + 5) + 23

Reorder the terms:
-10 + -7x + -1x + -7x2 = -8(x + 5) + 23

Combine like terms: -7x + -1x = -8x
-10 + -8x + -7x2 = -8(x + 5) + 23

Reorder the terms:
-10 + -8x + -7x2 = -8(5 + x) + 23
-10 + -8x + -7x2 = (5 * -8 + x * -8) + 23
-10 + -8x + -7x2 = (-40 + -8x) + 23

Reorder the terms:
-10 + -8x + -7x2 = -40 + 23 + -8x

Combine like terms: -40 + 23 = -17
-10 + -8x + -7x2 = -17 + -8x

Add '8x' to each side of the equation.
-10 + -8x + 8x + -7x2 = -17 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 0 + -7x2 = -17 + -8x + 8x
-10 + -7x2 = -17 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + -7x2 = -17 + 0
-10 + -7x2 = -17

Solving
-10 + -7x2 = -17

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -7x2 = -17 + 10

Combine like terms: -10 + 10 = 0
0 + -7x2 = -17 + 10
-7x2 = -17 + 10

Combine like terms: -17 + 10 = -7
-7x2 = -7

Divide each side by '-7'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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