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

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


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

Reorder the terms:
2(-5 + x) + -6 = -1(x + -4)
(-5 * 2 + x * 2) + -6 = -1(x + -4)
(-10 + 2x) + -6 = -1(x + -4)

Reorder the terms:
-10 + -6 + 2x = -1(x + -4)

Combine like terms: -10 + -6 = -16
-16 + 2x = -1(x + -4)

Reorder the terms:
-16 + 2x = -1(-4 + x)
-16 + 2x = (-4 * -1 + x * -1)
-16 + 2x = (4 + -1x)

Solving
-16 + 2x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + 2x + x = 4 + -1x + x

Combine like terms: 2x + x = 3x
-16 + 3x = 4 + -1x + x

Combine like terms: -1x + x = 0
-16 + 3x = 4 + 0
-16 + 3x = 4

Add '16' to each side of the equation.
-16 + 16 + 3x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 4 + 16
3x = 4 + 16

Combine like terms: 4 + 16 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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