16x-2(x-3)=11(x-2)

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Solution for 16x-2(x-3)=11(x-2) equation:


Simplifying
16x + -2(x + -3) = 11(x + -2)

Reorder the terms:
16x + -2(-3 + x) = 11(x + -2)
16x + (-3 * -2 + x * -2) = 11(x + -2)
16x + (6 + -2x) = 11(x + -2)

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

Combine like terms: 16x + -2x = 14x
6 + 14x = 11(x + -2)

Reorder the terms:
6 + 14x = 11(-2 + x)
6 + 14x = (-2 * 11 + x * 11)
6 + 14x = (-22 + 11x)

Solving
6 + 14x = -22 + 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.
6 + 14x + -11x = -22 + 11x + -11x

Combine like terms: 14x + -11x = 3x
6 + 3x = -22 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + 3x = -22 + 0
6 + 3x = -22

Add '-6' to each side of the equation.
6 + -6 + 3x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -22 + -6
3x = -22 + -6

Combine like terms: -22 + -6 = -28
3x = -28

Divide each side by '3'.
x = -9.333333333

Simplifying
x = -9.333333333

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