258-7x=38x+16

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Solution for 258-7x=38x+16 equation:


Simplifying
258 + -7x = 38x + 16

Reorder the terms:
258 + -7x = 16 + 38x

Solving
258 + -7x = 16 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
258 + -7x + -38x = 16 + 38x + -38x

Combine like terms: -7x + -38x = -45x
258 + -45x = 16 + 38x + -38x

Combine like terms: 38x + -38x = 0
258 + -45x = 16 + 0
258 + -45x = 16

Add '-258' to each side of the equation.
258 + -258 + -45x = 16 + -258

Combine like terms: 258 + -258 = 0
0 + -45x = 16 + -258
-45x = 16 + -258

Combine like terms: 16 + -258 = -242
-45x = -242

Divide each side by '-45'.
x = 5.377777778

Simplifying
x = 5.377777778

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