8(x-6)+x=2(2-x)

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Solution for 8(x-6)+x=2(2-x) equation:


Simplifying
8(x + -6) + x = 2(2 + -1x)

Reorder the terms:
8(-6 + x) + x = 2(2 + -1x)
(-6 * 8 + x * 8) + x = 2(2 + -1x)
(-48 + 8x) + x = 2(2 + -1x)

Combine like terms: 8x + x = 9x
-48 + 9x = 2(2 + -1x)
-48 + 9x = (2 * 2 + -1x * 2)
-48 + 9x = (4 + -2x)

Solving
-48 + 9x = 4 + -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.
-48 + 9x + 2x = 4 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-48 + 11x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-48 + 11x = 4 + 0
-48 + 11x = 4

Add '48' to each side of the equation.
-48 + 48 + 11x = 4 + 48

Combine like terms: -48 + 48 = 0
0 + 11x = 4 + 48
11x = 4 + 48

Combine like terms: 4 + 48 = 52
11x = 52

Divide each side by '11'.
x = 4.727272727

Simplifying
x = 4.727272727

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