6=4(x-5)-2

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Solution for 6=4(x-5)-2 equation: 


Simplifying
6 = 4(x + -5) + -2

Reorder the terms:
6 = 4(-5 + x) + -2
6 = (-5 * 4 + x * 4) + -2
6 = (-20 + 4x) + -2

Reorder the terms:
6 = -20 + -2 + 4x

Combine like terms: -20 + -2 = -22
6 = -22 + 4x

Solving
6 = -22 + 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 + -4x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -4x = -22 + 0
6 + -4x = -22

Add '-6' to each side of the equation.
6 + -6 + -4x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -22 + -6
-4x = -22 + -6

Combine like terms: -22 + -6 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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