30(50-10x)26-20(50+50x)=30(10x+1)

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Solution for 30(50-10x)26-20(50+50x)=30(10x+1) equation:


Simplifying
30(50 + -10x) * 26 + -20(50 + 50x) = 30(10x + 1)

Reorder the terms for easier multiplication:
30 * 26(50 + -10x) + -20(50 + 50x) = 30(10x + 1)

Multiply 30 * 26
780(50 + -10x) + -20(50 + 50x) = 30(10x + 1)
(50 * 780 + -10x * 780) + -20(50 + 50x) = 30(10x + 1)
(39000 + -7800x) + -20(50 + 50x) = 30(10x + 1)
39000 + -7800x + (50 * -20 + 50x * -20) = 30(10x + 1)
39000 + -7800x + (-1000 + -1000x) = 30(10x + 1)

Reorder the terms:
39000 + -1000 + -7800x + -1000x = 30(10x + 1)

Combine like terms: 39000 + -1000 = 38000
38000 + -7800x + -1000x = 30(10x + 1)

Combine like terms: -7800x + -1000x = -8800x
38000 + -8800x = 30(10x + 1)

Reorder the terms:
38000 + -8800x = 30(1 + 10x)
38000 + -8800x = (1 * 30 + 10x * 30)
38000 + -8800x = (30 + 300x)

Solving
38000 + -8800x = 30 + 300x

Solving for variable 'x'.

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

Add '-300x' to each side of the equation.
38000 + -8800x + -300x = 30 + 300x + -300x

Combine like terms: -8800x + -300x = -9100x
38000 + -9100x = 30 + 300x + -300x

Combine like terms: 300x + -300x = 0
38000 + -9100x = 30 + 0
38000 + -9100x = 30

Add '-38000' to each side of the equation.
38000 + -38000 + -9100x = 30 + -38000

Combine like terms: 38000 + -38000 = 0
0 + -9100x = 30 + -38000
-9100x = 30 + -38000

Combine like terms: 30 + -38000 = -37970
-9100x = -37970

Divide each side by '-9100'.
x = 4.172527473

Simplifying
x = 4.172527473

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