5x(2x-7)+2x(8-5x)=5

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Solution for 5x(2x-7)+2x(8-5x)=5 equation:


Simplifying
5x(2x + -7) + 2x(8 + -5x) = 5

Reorder the terms:
5x(-7 + 2x) + 2x(8 + -5x) = 5
(-7 * 5x + 2x * 5x) + 2x(8 + -5x) = 5
(-35x + 10x2) + 2x(8 + -5x) = 5
-35x + 10x2 + (8 * 2x + -5x * 2x) = 5
-35x + 10x2 + (16x + -10x2) = 5

Reorder the terms:
-35x + 16x + 10x2 + -10x2 = 5

Combine like terms: -35x + 16x = -19x
-19x + 10x2 + -10x2 = 5

Combine like terms: 10x2 + -10x2 = 0
-19x + 0 = 5
-19x = 5

Solving
-19x = 5

Solving for variable 'x'.

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

Divide each side by '-19'.
x = -0.2631578947

Simplifying
x = -0.2631578947

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