(x-1)-(4x+6)=8

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Solution for (x-1)-(4x+6)=8 equation:


Simplifying
(x + -1) + -1(4x + 6) = 8

Reorder the terms:
(-1 + x) + -1(4x + 6) = 8

Remove parenthesis around (-1 + x)
-1 + x + -1(4x + 6) = 8

Reorder the terms:
-1 + x + -1(6 + 4x) = 8
-1 + x + (6 * -1 + 4x * -1) = 8
-1 + x + (-6 + -4x) = 8

Reorder the terms:
-1 + -6 + x + -4x = 8

Combine like terms: -1 + -6 = -7
-7 + x + -4x = 8

Combine like terms: x + -4x = -3x
-7 + -3x = 8

Solving
-7 + -3x = 8

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 8 + 7
-3x = 8 + 7

Combine like terms: 8 + 7 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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