10x+5=9(x-10)+10

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Solution for 10x+5=9(x-10)+10 equation:


Simplifying
10x + 5 = 9(x + -10) + 10

Reorder the terms:
5 + 10x = 9(x + -10) + 10

Reorder the terms:
5 + 10x = 9(-10 + x) + 10
5 + 10x = (-10 * 9 + x * 9) + 10
5 + 10x = (-90 + 9x) + 10

Reorder the terms:
5 + 10x = -90 + 10 + 9x

Combine like terms: -90 + 10 = -80
5 + 10x = -80 + 9x

Solving
5 + 10x = -80 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + 10x + -9x = -80 + 9x + -9x

Combine like terms: 10x + -9x = 1x
5 + 1x = -80 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + 1x = -80 + 0
5 + 1x = -80

Add '-5' to each side of the equation.
5 + -5 + 1x = -80 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -80 + -5
1x = -80 + -5

Combine like terms: -80 + -5 = -85
1x = -85

Divide each side by '1'.
x = -85

Simplifying
x = -85

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