16(x-2)-6=2(9x-1)

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Solution for 16(x-2)-6=2(9x-1) equation:


Simplifying
16(x + -2) + -6 = 2(9x + -1)

Reorder the terms:
16(-2 + x) + -6 = 2(9x + -1)
(-2 * 16 + x * 16) + -6 = 2(9x + -1)
(-32 + 16x) + -6 = 2(9x + -1)

Reorder the terms:
-32 + -6 + 16x = 2(9x + -1)

Combine like terms: -32 + -6 = -38
-38 + 16x = 2(9x + -1)

Reorder the terms:
-38 + 16x = 2(-1 + 9x)
-38 + 16x = (-1 * 2 + 9x * 2)
-38 + 16x = (-2 + 18x)

Solving
-38 + 16x = -2 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-38 + 16x + -18x = -2 + 18x + -18x

Combine like terms: 16x + -18x = -2x
-38 + -2x = -2 + 18x + -18x

Combine like terms: 18x + -18x = 0
-38 + -2x = -2 + 0
-38 + -2x = -2

Add '38' to each side of the equation.
-38 + 38 + -2x = -2 + 38

Combine like terms: -38 + 38 = 0
0 + -2x = -2 + 38
-2x = -2 + 38

Combine like terms: -2 + 38 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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