8(x-2)=2(x-9)

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Solution for 8(x-2)=2(x-9) equation:


Simplifying
8(x + -2) = 2(x + -9)

Reorder the terms:
8(-2 + x) = 2(x + -9)
(-2 * 8 + x * 8) = 2(x + -9)
(-16 + 8x) = 2(x + -9)

Reorder the terms:
-16 + 8x = 2(-9 + x)
-16 + 8x = (-9 * 2 + x * 2)
-16 + 8x = (-18 + 2x)

Solving
-16 + 8x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-16 + 8x + -2x = -18 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-16 + 6x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 6x = -18 + 0
-16 + 6x = -18

Add '16' to each side of the equation.
-16 + 16 + 6x = -18 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = -18 + 16
6x = -18 + 16

Combine like terms: -18 + 16 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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