-2(x-4)-5=6(x-1)

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Solution for -2(x-4)-5=6(x-1) equation:


Simplifying
-2(x + -4) + -5 = 6(x + -1)

Reorder the terms:
-2(-4 + x) + -5 = 6(x + -1)
(-4 * -2 + x * -2) + -5 = 6(x + -1)
(8 + -2x) + -5 = 6(x + -1)

Reorder the terms:
8 + -5 + -2x = 6(x + -1)

Combine like terms: 8 + -5 = 3
3 + -2x = 6(x + -1)

Reorder the terms:
3 + -2x = 6(-1 + x)
3 + -2x = (-1 * 6 + x * 6)
3 + -2x = (-6 + 6x)

Solving
3 + -2x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + -2x + -6x = -6 + 6x + -6x

Combine like terms: -2x + -6x = -8x
3 + -8x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -8x = -6 + 0
3 + -8x = -6

Add '-3' to each side of the equation.
3 + -3 + -8x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -6 + -3
-8x = -6 + -3

Combine like terms: -6 + -3 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125

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