6(x-6)-(x+2)=26

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Solution for 6(x-6)-(x+2)=26 equation:


Simplifying
6(x + -6) + -1(x + 2) = 26

Reorder the terms:
6(-6 + x) + -1(x + 2) = 26
(-6 * 6 + x * 6) + -1(x + 2) = 26
(-36 + 6x) + -1(x + 2) = 26

Reorder the terms:
-36 + 6x + -1(2 + x) = 26
-36 + 6x + (2 * -1 + x * -1) = 26
-36 + 6x + (-2 + -1x) = 26

Reorder the terms:
-36 + -2 + 6x + -1x = 26

Combine like terms: -36 + -2 = -38
-38 + 6x + -1x = 26

Combine like terms: 6x + -1x = 5x
-38 + 5x = 26

Solving
-38 + 5x = 26

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 5x = 26 + 38

Combine like terms: -38 + 38 = 0
0 + 5x = 26 + 38
5x = 26 + 38

Combine like terms: 26 + 38 = 64
5x = 64

Divide each side by '5'.
x = 12.8

Simplifying
x = 12.8

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