5x-4(2x-5)=8x-25

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Solution for 5x-4(2x-5)=8x-25 equation:


Simplifying
5x + -4(2x + -5) = 8x + -25

Reorder the terms:
5x + -4(-5 + 2x) = 8x + -25
5x + (-5 * -4 + 2x * -4) = 8x + -25
5x + (20 + -8x) = 8x + -25

Reorder the terms:
20 + 5x + -8x = 8x + -25

Combine like terms: 5x + -8x = -3x
20 + -3x = 8x + -25

Reorder the terms:
20 + -3x = -25 + 8x

Solving
20 + -3x = -25 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + -3x + -8x = -25 + 8x + -8x

Combine like terms: -3x + -8x = -11x
20 + -11x = -25 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -11x = -25 + 0
20 + -11x = -25

Add '-20' to each side of the equation.
20 + -20 + -11x = -25 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = -25 + -20
-11x = -25 + -20

Combine like terms: -25 + -20 = -45
-11x = -45

Divide each side by '-11'.
x = 4.090909091

Simplifying
x = 4.090909091

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