4x+38=7x+14

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Solution for 4x+38=7x+14 equation:


Simplifying
4x + 38 = 7x + 14

Reorder the terms:
38 + 4x = 7x + 14

Reorder the terms:
38 + 4x = 14 + 7x

Solving
38 + 4x = 14 + 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.
38 + 4x + -7x = 14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
38 + -3x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
38 + -3x = 14 + 0
38 + -3x = 14

Add '-38' to each side of the equation.
38 + -38 + -3x = 14 + -38

Combine like terms: 38 + -38 = 0
0 + -3x = 14 + -38
-3x = 14 + -38

Combine like terms: 14 + -38 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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