10(2x+1)=11x+5

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Solution for 10(2x+1)=11x+5 equation:


Simplifying
10(2x + 1) = 11x + 5

Reorder the terms:
10(1 + 2x) = 11x + 5
(1 * 10 + 2x * 10) = 11x + 5
(10 + 20x) = 11x + 5

Reorder the terms:
10 + 20x = 5 + 11x

Solving
10 + 20x = 5 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
10 + 20x + -11x = 5 + 11x + -11x

Combine like terms: 20x + -11x = 9x
10 + 9x = 5 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + 9x = 5 + 0
10 + 9x = 5

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

Combine like terms: 10 + -10 = 0
0 + 9x = 5 + -10
9x = 5 + -10

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

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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