137=7(3x+7)+x

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Solution for 137=7(3x+7)+x equation:


Simplifying
137 = 7(3x + 7) + x

Reorder the terms:
137 = 7(7 + 3x) + x
137 = (7 * 7 + 3x * 7) + x
137 = (49 + 21x) + x

Combine like terms: 21x + x = 22x
137 = 49 + 22x

Solving
137 = 49 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
137 + -22x = 49 + 22x + -22x

Combine like terms: 22x + -22x = 0
137 + -22x = 49 + 0
137 + -22x = 49

Add '-137' to each side of the equation.
137 + -137 + -22x = 49 + -137

Combine like terms: 137 + -137 = 0
0 + -22x = 49 + -137
-22x = 49 + -137

Combine like terms: 49 + -137 = -88
-22x = -88

Divide each side by '-22'.
x = 4

Simplifying
x = 4

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