x+2+6x=3(x-4)-(x-4)

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Solution for x+2+6x=3(x-4)-(x-4) equation:


Simplifying
x + 2 + 6x = 3(x + -4) + -1(x + -4)

Reorder the terms:
2 + x + 6x = 3(x + -4) + -1(x + -4)

Combine like terms: x + 6x = 7x
2 + 7x = 3(x + -4) + -1(x + -4)

Reorder the terms:
2 + 7x = 3(-4 + x) + -1(x + -4)
2 + 7x = (-4 * 3 + x * 3) + -1(x + -4)
2 + 7x = (-12 + 3x) + -1(x + -4)

Reorder the terms:
2 + 7x = -12 + 3x + -1(-4 + x)
2 + 7x = -12 + 3x + (-4 * -1 + x * -1)
2 + 7x = -12 + 3x + (4 + -1x)

Reorder the terms:
2 + 7x = -12 + 4 + 3x + -1x

Combine like terms: -12 + 4 = -8
2 + 7x = -8 + 3x + -1x

Combine like terms: 3x + -1x = 2x
2 + 7x = -8 + 2x

Solving
2 + 7x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 7x + -2x = -8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
2 + 5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 5x = -8 + 0
2 + 5x = -8

Add '-2' to each side of the equation.
2 + -2 + 5x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -8 + -2
5x = -8 + -2

Combine like terms: -8 + -2 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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