5-2x(x-3)=x(7-2x)+4

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Solution for 5-2x(x-3)=x(7-2x)+4 equation: 


Simplifying
5 + -2x(x + -3) = x(7 + -2x) + 4

Reorder the terms:
5 + -2x(-3 + x) = x(7 + -2x) + 4
5 + (-3 * -2x + x * -2x) = x(7 + -2x) + 4
5 + (6x + -2x2) = x(7 + -2x) + 4
5 + 6x + -2x2 = (7 * x + -2x * x) + 4
5 + 6x + -2x2 = (7x + -2x2) + 4

Reorder the terms:
5 + 6x + -2x2 = 4 + 7x + -2x2

Add '2x2' to each side of the equation.
5 + 6x + -2x2 + 2x2 = 4 + 7x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
5 + 6x + 0 = 4 + 7x + -2x2 + 2x2
5 + 6x = 4 + 7x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
5 + 6x = 4 + 7x + 0
5 + 6x = 4 + 7x

Solving
5 + 6x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 6x + -7x = 4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
5 + -1x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -1x = 4 + 0
5 + -1x = 4

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

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

Combine like terms: 4 + -5 = -1
-1x = -1

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

Simplifying
x = 1

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