7x+38=3x+6

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Solution for 7x+38=3x+6 equation:


Simplifying
7x + 38 = 3x + 6

Reorder the terms:
38 + 7x = 3x + 6

Reorder the terms:
38 + 7x = 6 + 3x

Solving
38 + 7x = 6 + 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 = 6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
38 + 4x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
38 + 4x = 6 + 0
38 + 4x = 6

Add '-38' to each side of the equation.
38 + -38 + 4x = 6 + -38

Combine like terms: 38 + -38 = 0
0 + 4x = 6 + -38
4x = 6 + -38

Combine like terms: 6 + -38 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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