10(11x+5)=-10x-10+90x

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Solution for 10(11x+5)=-10x-10+90x equation:


Simplifying
10(11x + 5) = -10x + -10 + 90x

Reorder the terms:
10(5 + 11x) = -10x + -10 + 90x
(5 * 10 + 11x * 10) = -10x + -10 + 90x
(50 + 110x) = -10x + -10 + 90x

Reorder the terms:
50 + 110x = -10 + -10x + 90x

Combine like terms: -10x + 90x = 80x
50 + 110x = -10 + 80x

Solving
50 + 110x = -10 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
50 + 110x + -80x = -10 + 80x + -80x

Combine like terms: 110x + -80x = 30x
50 + 30x = -10 + 80x + -80x

Combine like terms: 80x + -80x = 0
50 + 30x = -10 + 0
50 + 30x = -10

Add '-50' to each side of the equation.
50 + -50 + 30x = -10 + -50

Combine like terms: 50 + -50 = 0
0 + 30x = -10 + -50
30x = -10 + -50

Combine like terms: -10 + -50 = -60
30x = -60

Divide each side by '30'.
x = -2

Simplifying
x = -2

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