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

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Solution for 8(x-1)+6(2-x)=8x equation:


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

Reorder the terms:
8(-1 + x) + 6(2 + -1x) = 8x
(-1 * 8 + x * 8) + 6(2 + -1x) = 8x
(-8 + 8x) + 6(2 + -1x) = 8x
-8 + 8x + (2 * 6 + -1x * 6) = 8x
-8 + 8x + (12 + -6x) = 8x

Reorder the terms:
-8 + 12 + 8x + -6x = 8x

Combine like terms: -8 + 12 = 4
4 + 8x + -6x = 8x

Combine like terms: 8x + -6x = 2x
4 + 2x = 8x

Solving
4 + 2x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 2x + -8x = 8x + -8x

Combine like terms: 2x + -8x = -6x
4 + -6x = 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -6x = 0

Add '-4' to each side of the equation.
4 + -4 + -6x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 0 + -4
-6x = 0 + -4

Combine like terms: 0 + -4 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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