16x-13-(11x-24)=6x+2

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Solution for 16x-13-(11x-24)=6x+2 equation:


Simplifying
16x + -13 + -1(11x + -24) = 6x + 2

Reorder the terms:
16x + -13 + -1(-24 + 11x) = 6x + 2
16x + -13 + (-24 * -1 + 11x * -1) = 6x + 2
16x + -13 + (24 + -11x) = 6x + 2

Reorder the terms:
-13 + 24 + 16x + -11x = 6x + 2

Combine like terms: -13 + 24 = 11
11 + 16x + -11x = 6x + 2

Combine like terms: 16x + -11x = 5x
11 + 5x = 6x + 2

Reorder the terms:
11 + 5x = 2 + 6x

Solving
11 + 5x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
11 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -1x = 2 + 0
11 + -1x = 2

Add '-11' to each side of the equation.
11 + -11 + -1x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 2 + -11
-1x = 2 + -11

Combine like terms: 2 + -11 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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