x-6+26=7(x+26)

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Solution for x-6+26=7(x+26) equation: 


Simplifying
x + -6 + 26 = 7(x + 26)

Reorder the terms:
-6 + 26 + x = 7(x + 26)

Combine like terms: -6 + 26 = 20
20 + x = 7(x + 26)

Reorder the terms:
20 + x = 7(26 + x)
20 + x = (26 * 7 + x * 7)
20 + x = (182 + 7x)

Solving
20 + x = 182 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + x + -7x = 182 + 7x + -7x

Combine like terms: x + -7x = -6x
20 + -6x = 182 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -6x = 182 + 0
20 + -6x = 182

Add '-20' to each side of the equation.
20 + -20 + -6x = 182 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = 182 + -20
-6x = 182 + -20

Combine like terms: 182 + -20 = 162
-6x = 162

Divide each side by '-6'.
x = -27

Simplifying
x = -27

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