2(x-2)=1(x+8)

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Solution for 2(x-2)=1(x+8) equation:


Simplifying
2(x + -2) = 1(x + 8)

Reorder the terms:
2(-2 + x) = 1(x + 8)
(-2 * 2 + x * 2) = 1(x + 8)
(-4 + 2x) = 1(x + 8)

Reorder the terms:
-4 + 2x = 1(8 + x)
-4 + 2x = (8 * 1 + x * 1)
-4 + 2x = (8 + 1x)

Solving
-4 + 2x = 8 + 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.
-4 + 2x + -1x = 8 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x = 8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4 + 1x = 8 + 0
-4 + 1x = 8

Add '4' to each side of the equation.
-4 + 4 + 1x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 8 + 4
1x = 8 + 4

Combine like terms: 8 + 4 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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