x^2+14x-49=x^2+16x-64

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Solution for x^2+14x-49=x^2+16x-64 equation:


Simplifying
x2 + 14x + -49 = x2 + 16x + -64

Reorder the terms:
-49 + 14x + x2 = x2 + 16x + -64

Reorder the terms:
-49 + 14x + x2 = -64 + 16x + x2

Add '-1x2' to each side of the equation.
-49 + 14x + x2 + -1x2 = -64 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 + 14x + 0 = -64 + 16x + x2 + -1x2
-49 + 14x = -64 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 + 14x = -64 + 16x + 0
-49 + 14x = -64 + 16x

Solving
-49 + 14x = -64 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-49 + 14x + -16x = -64 + 16x + -16x

Combine like terms: 14x + -16x = -2x
-49 + -2x = -64 + 16x + -16x

Combine like terms: 16x + -16x = 0
-49 + -2x = -64 + 0
-49 + -2x = -64

Add '49' to each side of the equation.
-49 + 49 + -2x = -64 + 49

Combine like terms: -49 + 49 = 0
0 + -2x = -64 + 49
-2x = -64 + 49

Combine like terms: -64 + 49 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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