x^2-7x+10=x^2+5x-14

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Solution for x^2-7x+10=x^2+5x-14 equation:


Simplifying
x2 + -7x + 10 = x2 + 5x + -14

Reorder the terms:
10 + -7x + x2 = x2 + 5x + -14

Reorder the terms:
10 + -7x + x2 = -14 + 5x + x2

Add '-1x2' to each side of the equation.
10 + -7x + x2 + -1x2 = -14 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -7x + 0 = -14 + 5x + x2 + -1x2
10 + -7x = -14 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -7x = -14 + 5x + 0
10 + -7x = -14 + 5x

Solving
10 + -7x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + -7x + -5x = -14 + 5x + -5x

Combine like terms: -7x + -5x = -12x
10 + -12x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -12x = -14 + 0
10 + -12x = -14

Add '-10' to each side of the equation.
10 + -10 + -12x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -14 + -10
-12x = -14 + -10

Combine like terms: -14 + -10 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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