28-(x+6)=7x-2

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Solution for 28-(x+6)=7x-2 equation:


Simplifying
28 + -1(x + 6) = 7x + -2

Reorder the terms:
28 + -1(6 + x) = 7x + -2
28 + (6 * -1 + x * -1) = 7x + -2
28 + (-6 + -1x) = 7x + -2

Combine like terms: 28 + -6 = 22
22 + -1x = 7x + -2

Reorder the terms:
22 + -1x = -2 + 7x

Solving
22 + -1x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + -1x + -7x = -2 + 7x + -7x

Combine like terms: -1x + -7x = -8x
22 + -8x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -8x = -2 + 0
22 + -8x = -2

Add '-22' to each side of the equation.
22 + -22 + -8x = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -2 + -22
-8x = -2 + -22

Combine like terms: -2 + -22 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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