25x+9(5x+10)=20(1+x)

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Solution for 25x+9(5x+10)=20(1+x) equation:


Simplifying
25x + 9(5x + 10) = 20(1 + x)

Reorder the terms:
25x + 9(10 + 5x) = 20(1 + x)
25x + (10 * 9 + 5x * 9) = 20(1 + x)
25x + (90 + 45x) = 20(1 + x)

Reorder the terms:
90 + 25x + 45x = 20(1 + x)

Combine like terms: 25x + 45x = 70x
90 + 70x = 20(1 + x)
90 + 70x = (1 * 20 + x * 20)
90 + 70x = (20 + 20x)

Solving
90 + 70x = 20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
90 + 70x + -20x = 20 + 20x + -20x

Combine like terms: 70x + -20x = 50x
90 + 50x = 20 + 20x + -20x

Combine like terms: 20x + -20x = 0
90 + 50x = 20 + 0
90 + 50x = 20

Add '-90' to each side of the equation.
90 + -90 + 50x = 20 + -90

Combine like terms: 90 + -90 = 0
0 + 50x = 20 + -90
50x = 20 + -90

Combine like terms: 20 + -90 = -70
50x = -70

Divide each side by '50'.
x = -1.4

Simplifying
x = -1.4

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