1-2(6x-8)=7-5(x-5)-1-1-5

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Solution for 1-2(6x-8)=7-5(x-5)-1-1-5 equation:


Simplifying
1 + -2(6x + -8) = 7 + -5(x + -5) + -1 + -1 + -5

Reorder the terms:
1 + -2(-8 + 6x) = 7 + -5(x + -5) + -1 + -1 + -5
1 + (-8 * -2 + 6x * -2) = 7 + -5(x + -5) + -1 + -1 + -5
1 + (16 + -12x) = 7 + -5(x + -5) + -1 + -1 + -5

Combine like terms: 1 + 16 = 17
17 + -12x = 7 + -5(x + -5) + -1 + -1 + -5

Reorder the terms:
17 + -12x = 7 + -5(-5 + x) + -1 + -1 + -5
17 + -12x = 7 + (-5 * -5 + x * -5) + -1 + -1 + -5
17 + -12x = 7 + (25 + -5x) + -1 + -1 + -5

Reorder the terms:
17 + -12x = 7 + 25 + -1 + -1 + -5 + -5x

Combine like terms: 7 + 25 = 32
17 + -12x = 32 + -1 + -1 + -5 + -5x

Combine like terms: 32 + -1 = 31
17 + -12x = 31 + -1 + -5 + -5x

Combine like terms: 31 + -1 = 30
17 + -12x = 30 + -5 + -5x

Combine like terms: 30 + -5 = 25
17 + -12x = 25 + -5x

Solving
17 + -12x = 25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
17 + -12x + 5x = 25 + -5x + 5x

Combine like terms: -12x + 5x = -7x
17 + -7x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
17 + -7x = 25 + 0
17 + -7x = 25

Add '-17' to each side of the equation.
17 + -17 + -7x = 25 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = 25 + -17
-7x = 25 + -17

Combine like terms: 25 + -17 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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