7(x-2)-6=2x+8

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Solution for 7(x-2)-6=2x+8 equation:


Simplifying
7(x + -2) + -6 = 2x + 8

Reorder the terms:
7(-2 + x) + -6 = 2x + 8
(-2 * 7 + x * 7) + -6 = 2x + 8
(-14 + 7x) + -6 = 2x + 8

Reorder the terms:
-14 + -6 + 7x = 2x + 8

Combine like terms: -14 + -6 = -20
-20 + 7x = 2x + 8

Reorder the terms:
-20 + 7x = 8 + 2x

Solving
-20 + 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.
-20 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-20 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 5x = 8 + 0
-20 + 5x = 8

Add '20' to each side of the equation.
-20 + 20 + 5x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 8 + 20
5x = 8 + 20

Combine like terms: 8 + 20 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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