3x+16=10x+54

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Solution for 3x+16=10x+54 equation:


Simplifying
3x + 16 = 10x + 54

Reorder the terms:
16 + 3x = 10x + 54

Reorder the terms:
16 + 3x = 54 + 10x

Solving
16 + 3x = 54 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
16 + 3x + -10x = 54 + 10x + -10x

Combine like terms: 3x + -10x = -7x
16 + -7x = 54 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -7x = 54 + 0
16 + -7x = 54

Add '-16' to each side of the equation.
16 + -16 + -7x = 54 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 54 + -16
-7x = 54 + -16

Combine like terms: 54 + -16 = 38
-7x = 38

Divide each side by '-7'.
x = -5.428571429

Simplifying
x = -5.428571429

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