3(x-1)+5x-6=x

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Solution for 3(x-1)+5x-6=x equation:


Simplifying
3(x + -1) + 5x + -6 = x

Reorder the terms:
3(-1 + x) + 5x + -6 = x
(-1 * 3 + x * 3) + 5x + -6 = x
(-3 + 3x) + 5x + -6 = x

Reorder the terms:
-3 + -6 + 3x + 5x = x

Combine like terms: -3 + -6 = -9
-9 + 3x + 5x = x

Combine like terms: 3x + 5x = 8x
-9 + 8x = x

Solving
-9 + 8x = 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.
-9 + 8x + -1x = x + -1x

Combine like terms: 8x + -1x = 7x
-9 + 7x = x + -1x

Combine like terms: x + -1x = 0
-9 + 7x = 0

Add '9' to each side of the equation.
-9 + 9 + 7x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 0 + 9
7x = 0 + 9

Combine like terms: 0 + 9 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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