7x-38=3x-2

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Solution for 7x-38=3x-2 equation:


Simplifying
7x + -38 = 3x + -2

Reorder the terms:
-38 + 7x = 3x + -2

Reorder the terms:
-38 + 7x = -2 + 3x

Solving
-38 + 7x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-38 + 7x + -3x = -2 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-38 + 4x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-38 + 4x = -2 + 0
-38 + 4x = -2

Add '38' to each side of the equation.
-38 + 38 + 4x = -2 + 38

Combine like terms: -38 + 38 = 0
0 + 4x = -2 + 38
4x = -2 + 38

Combine like terms: -2 + 38 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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