11+3(x+1)=5x-16

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Solution for 11+3(x+1)=5x-16 equation:


Simplifying
11 + 3(x + 1) = 5x + -16

Reorder the terms:
11 + 3(1 + x) = 5x + -16
11 + (1 * 3 + x * 3) = 5x + -16
11 + (3 + 3x) = 5x + -16

Combine like terms: 11 + 3 = 14
14 + 3x = 5x + -16

Reorder the terms:
14 + 3x = -16 + 5x

Solving
14 + 3x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 3x + -5x = -16 + 5x + -5x

Combine like terms: 3x + -5x = -2x
14 + -2x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -2x = -16 + 0
14 + -2x = -16

Add '-14' to each side of the equation.
14 + -14 + -2x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -16 + -14
-2x = -16 + -14

Combine like terms: -16 + -14 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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