4x(x-7)=2x(2x-13)-10

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Solution for 4x(x-7)=2x(2x-13)-10 equation: 


Simplifying
4x(x + -7) = 2x(2x + -13) + -10

Reorder the terms:
4x(-7 + x) = 2x(2x + -13) + -10
(-7 * 4x + x * 4x) = 2x(2x + -13) + -10
(-28x + 4x2) = 2x(2x + -13) + -10

Reorder the terms:
-28x + 4x2 = 2x(-13 + 2x) + -10
-28x + 4x2 = (-13 * 2x + 2x * 2x) + -10
-28x + 4x2 = (-26x + 4x2) + -10

Reorder the terms:
-28x + 4x2 = -10 + -26x + 4x2

Add '-4x2' to each side of the equation.
-28x + 4x2 + -4x2 = -10 + -26x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-28x + 0 = -10 + -26x + 4x2 + -4x2
-28x = -10 + -26x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-28x = -10 + -26x + 0
-28x = -10 + -26x

Solving
-28x = -10 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
-28x + 26x = -10 + -26x + 26x

Combine like terms: -28x + 26x = -2x
-2x = -10 + -26x + 26x

Combine like terms: -26x + 26x = 0
-2x = -10 + 0
-2x = -10

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

Simplifying
x = 5

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