5(x+2)=11x-5

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


Simplifying
5(x + 2) = 11x + -5

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

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

Solving
10 + 5x = -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 + 5x + -11x = -5 + 11x + -11x

Combine like terms: 5x + -11x = -6x
10 + -6x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + -6x = -5 + 0
10 + -6x = -5

Add '-10' to each side of the equation.
10 + -10 + -6x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -5 + -10
-6x = -5 + -10

Combine like terms: -5 + -10 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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