2x(x-7)=2x(x-3)-8

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Solution for 2x(x-7)=2x(x-3)-8 equation:


Simplifying
2x(x + -7) = 2x(x + -3) + -8

Reorder the terms:
2x(-7 + x) = 2x(x + -3) + -8
(-7 * 2x + x * 2x) = 2x(x + -3) + -8
(-14x + 2x2) = 2x(x + -3) + -8

Reorder the terms:
-14x + 2x2 = 2x(-3 + x) + -8
-14x + 2x2 = (-3 * 2x + x * 2x) + -8
-14x + 2x2 = (-6x + 2x2) + -8

Reorder the terms:
-14x + 2x2 = -8 + -6x + 2x2

Add '-2x2' to each side of the equation.
-14x + 2x2 + -2x2 = -8 + -6x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-14x + 0 = -8 + -6x + 2x2 + -2x2
-14x = -8 + -6x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-14x = -8 + -6x + 0
-14x = -8 + -6x

Solving
-14x = -8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-14x + 6x = -8 + -6x + 6x

Combine like terms: -14x + 6x = -8x
-8x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8x = -8 + 0
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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