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

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


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

Reorder the terms:
2x(-4 + 3x) + -3x(2x + 5) = 7
(-4 * 2x + 3x * 2x) + -3x(2x + 5) = 7
(-8x + 6x2) + -3x(2x + 5) = 7

Reorder the terms:
-8x + 6x2 + -3x(5 + 2x) = 7
-8x + 6x2 + (5 * -3x + 2x * -3x) = 7
-8x + 6x2 + (-15x + -6x2) = 7

Reorder the terms:
-8x + -15x + 6x2 + -6x2 = 7

Combine like terms: -8x + -15x = -23x
-23x + 6x2 + -6x2 = 7

Combine like terms: 6x2 + -6x2 = 0
-23x + 0 = 7
-23x = 7

Solving
-23x = 7

Solving for variable 'x'.

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

Divide each side by '-23'.
x = -0.3043478261

Simplifying
x = -0.3043478261

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