x^2-3x-10=x^2-4x-4

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Solution for x^2-3x-10=x^2-4x-4 equation:


Simplifying
x2 + -3x + -10 = x2 + -4x + -4

Reorder the terms:
-10 + -3x + x2 = x2 + -4x + -4

Reorder the terms:
-10 + -3x + x2 = -4 + -4x + x2

Add '-1x2' to each side of the equation.
-10 + -3x + x2 + -1x2 = -4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x + 0 = -4 + -4x + x2 + -1x2
-10 + -3x = -4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x = -4 + -4x + 0
-10 + -3x = -4 + -4x

Solving
-10 + -3x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + -3x + 4x = -4 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-10 + 1x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 1x = -4 + 0
-10 + 1x = -4

Add '10' to each side of the equation.
-10 + 10 + 1x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -4 + 10
1x = -4 + 10

Combine like terms: -4 + 10 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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