4(x-12)-6=26x-208

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Solution for 4(x-12)-6=26x-208 equation: 


Simplifying
4(x + -12) + -6 = 26x + -208

Reorder the terms:
4(-12 + x) + -6 = 26x + -208
(-12 * 4 + x * 4) + -6 = 26x + -208
(-48 + 4x) + -6 = 26x + -208

Reorder the terms:
-48 + -6 + 4x = 26x + -208

Combine like terms: -48 + -6 = -54
-54 + 4x = 26x + -208

Reorder the terms:
-54 + 4x = -208 + 26x

Solving
-54 + 4x = -208 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-54 + 4x + -26x = -208 + 26x + -26x

Combine like terms: 4x + -26x = -22x
-54 + -22x = -208 + 26x + -26x

Combine like terms: 26x + -26x = 0
-54 + -22x = -208 + 0
-54 + -22x = -208

Add '54' to each side of the equation.
-54 + 54 + -22x = -208 + 54

Combine like terms: -54 + 54 = 0
0 + -22x = -208 + 54
-22x = -208 + 54

Combine like terms: -208 + 54 = -154
-22x = -154

Divide each side by '-22'.
x = 7

Simplifying
x = 7

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