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

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


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

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

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

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

Reorder the terms:
-1 + 1x = -2 + 6(-4 + x)
-1 + 1x = -2 + (-4 * 6 + x * 6)
-1 + 1x = -2 + (-24 + 6x)

Combine like terms: -2 + -24 = -26
-1 + 1x = -26 + 6x

Solving
-1 + 1x = -26 + 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.
-1 + 1x + -6x = -26 + 6x + -6x

Combine like terms: 1x + -6x = -5x
-1 + -5x = -26 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -5x = -26 + 0
-1 + -5x = -26

Add '1' to each side of the equation.
-1 + 1 + -5x = -26 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -26 + 1
-5x = -26 + 1

Combine like terms: -26 + 1 = -25
-5x = -25

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

Simplifying
x = 5

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