3x+153=7x+97

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Solution for 3x+153=7x+97 equation:


Simplifying
3x + 153 = 7x + 97

Reorder the terms:
153 + 3x = 7x + 97

Reorder the terms:
153 + 3x = 97 + 7x

Solving
153 + 3x = 97 + 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.
153 + 3x + -7x = 97 + 7x + -7x

Combine like terms: 3x + -7x = -4x
153 + -4x = 97 + 7x + -7x

Combine like terms: 7x + -7x = 0
153 + -4x = 97 + 0
153 + -4x = 97

Add '-153' to each side of the equation.
153 + -153 + -4x = 97 + -153

Combine like terms: 153 + -153 = 0
0 + -4x = 97 + -153
-4x = 97 + -153

Combine like terms: 97 + -153 = -56
-4x = -56

Divide each side by '-4'.
x = 14

Simplifying
x = 14

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