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

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


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

Reorder the terms:
3(-7 + 2x) + 2x(x + -3) = -3
(-7 * 3 + 2x * 3) + 2x(x + -3) = -3
(-21 + 6x) + 2x(x + -3) = -3

Reorder the terms:
-21 + 6x + 2x(-3 + x) = -3
-21 + 6x + (-3 * 2x + x * 2x) = -3
-21 + 6x + (-6x + 2x2) = -3

Combine like terms: 6x + -6x = 0
-21 + 0 + 2x2 = -3
-21 + 2x2 = -3

Solving
-21 + 2x2 = -3

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 2x2 = -3 + 21

Combine like terms: -21 + 21 = 0
0 + 2x2 = -3 + 21
2x2 = -3 + 21

Combine like terms: -3 + 21 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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