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

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Solution for 7(x-2)-6=x+4 equation:


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

Reorder the terms:
7(-2 + x) + -6 = x + 4
(-2 * 7 + x * 7) + -6 = x + 4
(-14 + 7x) + -6 = x + 4

Reorder the terms:
-14 + -6 + 7x = x + 4

Combine like terms: -14 + -6 = -20
-20 + 7x = x + 4

Reorder the terms:
-20 + 7x = 4 + x

Solving
-20 + 7x = 4 + 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.
-20 + 7x + -1x = 4 + x + -1x

Combine like terms: 7x + -1x = 6x
-20 + 6x = 4 + x + -1x

Combine like terms: x + -1x = 0
-20 + 6x = 4 + 0
-20 + 6x = 4

Add '20' to each side of the equation.
-20 + 20 + 6x = 4 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 4 + 20
6x = 4 + 20

Combine like terms: 4 + 20 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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