11x-(16-5x)=6(7+2x)

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Solution for 11x-(16-5x)=6(7+2x) equation:


Simplifying
11x + -1(16 + -5x) = 6(7 + 2x)
11x + (16 * -1 + -5x * -1) = 6(7 + 2x)
11x + (-16 + 5x) = 6(7 + 2x)

Reorder the terms:
-16 + 11x + 5x = 6(7 + 2x)

Combine like terms: 11x + 5x = 16x
-16 + 16x = 6(7 + 2x)
-16 + 16x = (7 * 6 + 2x * 6)
-16 + 16x = (42 + 12x)

Solving
-16 + 16x = 42 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-16 + 16x + -12x = 42 + 12x + -12x

Combine like terms: 16x + -12x = 4x
-16 + 4x = 42 + 12x + -12x

Combine like terms: 12x + -12x = 0
-16 + 4x = 42 + 0
-16 + 4x = 42

Add '16' to each side of the equation.
-16 + 16 + 4x = 42 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 42 + 16
4x = 42 + 16

Combine like terms: 42 + 16 = 58
4x = 58

Divide each side by '4'.
x = 14.5

Simplifying
x = 14.5

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