7x+6-x=4(x-4)

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Solution for 7x+6-x=4(x-4) equation:


Simplifying
7x + 6 + -1x = 4(x + -4)

Reorder the terms:
6 + 7x + -1x = 4(x + -4)

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

Reorder the terms:
6 + 6x = 4(-4 + x)
6 + 6x = (-4 * 4 + x * 4)
6 + 6x = (-16 + 4x)

Solving
6 + 6x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 6x + -4x = -16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = -16 + 0
6 + 2x = -16

Add '-6' to each side of the equation.
6 + -6 + 2x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -16 + -6
2x = -16 + -6

Combine like terms: -16 + -6 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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