10(100-x)+2x=3(x+9)-28

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Solution for 10(100-x)+2x=3(x+9)-28 equation: 


Simplifying
10(100 + -1x) + 2x = 3(x + 9) + -28
(100 * 10 + -1x * 10) + 2x = 3(x + 9) + -28
(1000 + -10x) + 2x = 3(x + 9) + -28

Combine like terms: -10x + 2x = -8x
1000 + -8x = 3(x + 9) + -28

Reorder the terms:
1000 + -8x = 3(9 + x) + -28
1000 + -8x = (9 * 3 + x * 3) + -28
1000 + -8x = (27 + 3x) + -28

Reorder the terms:
1000 + -8x = 27 + -28 + 3x

Combine like terms: 27 + -28 = -1
1000 + -8x = -1 + 3x

Solving
1000 + -8x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1000 + -8x + -3x = -1 + 3x + -3x

Combine like terms: -8x + -3x = -11x
1000 + -11x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
1000 + -11x = -1 + 0
1000 + -11x = -1

Add '-1000' to each side of the equation.
1000 + -1000 + -11x = -1 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -11x = -1 + -1000
-11x = -1 + -1000

Combine like terms: -1 + -1000 = -1001
-11x = -1001

Divide each side by '-11'.
x = 91

Simplifying
x = 91

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