7(x-4)=x+2

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Solution for 7(x-4)=x+2 equation:


Simplifying
7(x + -4) = x + 2

Reorder the terms:
7(-4 + x) = x + 2
(-4 * 7 + x * 7) = x + 2
(-28 + 7x) = x + 2

Reorder the terms:
-28 + 7x = 2 + x

Solving
-28 + 7x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-28 + 7x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
-28 + 6x = 2 + 0
-28 + 6x = 2

Add '28' to each side of the equation.
-28 + 28 + 6x = 2 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = 2 + 28
6x = 2 + 28

Combine like terms: 2 + 28 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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