3(x+5)=11x-5

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Solution for 3(x+5)=11x-5 equation: 


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

Reorder the terms:
3(5 + x) = 11x + -5
(5 * 3 + x * 3) = 11x + -5
(15 + 3x) = 11x + -5

Reorder the terms:
15 + 3x = -5 + 11x

Solving
15 + 3x = -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.
15 + 3x + -11x = -5 + 11x + -11x

Combine like terms: 3x + -11x = -8x
15 + -8x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
15 + -8x = -5 + 0
15 + -8x = -5

Add '-15' to each side of the equation.
15 + -15 + -8x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -5 + -15
-8x = -5 + -15

Combine like terms: -5 + -15 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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