x^2+2x-15=x^2+4x-5

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Solution for x^2+2x-15=x^2+4x-5 equation:


Simplifying
x2 + 2x + -15 = x2 + 4x + -5

Reorder the terms:
-15 + 2x + x2 = x2 + 4x + -5

Reorder the terms:
-15 + 2x + x2 = -5 + 4x + x2

Add '-1x2' to each side of the equation.
-15 + 2x + x2 + -1x2 = -5 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 2x + 0 = -5 + 4x + x2 + -1x2
-15 + 2x = -5 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 2x = -5 + 4x + 0
-15 + 2x = -5 + 4x

Solving
-15 + 2x = -5 + 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.
-15 + 2x + -4x = -5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-15 + -2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -2x = -5 + 0
-15 + -2x = -5

Add '15' to each side of the equation.
-15 + 15 + -2x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -5 + 15
-2x = -5 + 15

Combine like terms: -5 + 15 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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