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

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


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

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

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

Solving
-18 + 2x = -16 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 2x + -1x = -16 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-18 + 1x = -16 + 1x + -1x

Combine like terms: 1x + -1x = 0
-18 + 1x = -16 + 0
-18 + 1x = -16

Add '18' to each side of the equation.
-18 + 18 + 1x = -16 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -16 + 18
1x = -16 + 18

Combine like terms: -16 + 18 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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