8x-2(x-9)=x+47

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Solution for 8x-2(x-9)=x+47 equation:


Simplifying
8x + -2(x + -9) = x + 47

Reorder the terms:
8x + -2(-9 + x) = x + 47
8x + (-9 * -2 + x * -2) = x + 47
8x + (18 + -2x) = x + 47

Reorder the terms:
18 + 8x + -2x = x + 47

Combine like terms: 8x + -2x = 6x
18 + 6x = x + 47

Reorder the terms:
18 + 6x = 47 + x

Solving
18 + 6x = 47 + x

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 + 6x + -1x = 47 + x + -1x

Combine like terms: 6x + -1x = 5x
18 + 5x = 47 + x + -1x

Combine like terms: x + -1x = 0
18 + 5x = 47 + 0
18 + 5x = 47

Add '-18' to each side of the equation.
18 + -18 + 5x = 47 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 47 + -18
5x = 47 + -18

Combine like terms: 47 + -18 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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