x-1=7(x-5)-(6x-4)

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Solution for x-1=7(x-5)-(6x-4) equation:


Simplifying
x + -1 = 7(x + -5) + -1(6x + -4)

Reorder the terms:
-1 + x = 7(x + -5) + -1(6x + -4)

Reorder the terms:
-1 + x = 7(-5 + x) + -1(6x + -4)
-1 + x = (-5 * 7 + x * 7) + -1(6x + -4)
-1 + x = (-35 + 7x) + -1(6x + -4)

Reorder the terms:
-1 + x = -35 + 7x + -1(-4 + 6x)
-1 + x = -35 + 7x + (-4 * -1 + 6x * -1)
-1 + x = -35 + 7x + (4 + -6x)

Reorder the terms:
-1 + x = -35 + 4 + 7x + -6x

Combine like terms: -35 + 4 = -31
-1 + x = -31 + 7x + -6x

Combine like terms: 7x + -6x = 1x
-1 + x = -31 + 1x

Solving
-1 + x = -31 + 1x

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.
-1 + x + -1x = -31 + 1x + -1x

Combine like terms: x + -1x = 0
-1 + 0 = -31 + 1x + -1x
-1 = -31 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 = -31 + 0
-1 = -31

Add '1' to each side of the equation.
-1 + 1 = -31 + 1

Combine like terms: -1 + 1 = 0
0 = -31 + 1

Combine like terms: -31 + 1 = -30
0 = -30

Simplifying
0 = -30

Combine like terms: 0 + 30 = 30
30 = -30 + 30

Combine like terms: -30 + 30 = 0
30 = 0

The solution to this equation could not be determined.

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