3x+6=10x+22

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Solution for 3x+6=10x+22 equation:


Simplifying
3x + 6 = 10x + 22

Reorder the terms:
6 + 3x = 10x + 22

Reorder the terms:
6 + 3x = 22 + 10x

Solving
6 + 3x = 22 + 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.
6 + 3x + -10x = 22 + 10x + -10x

Combine like terms: 3x + -10x = -7x
6 + -7x = 22 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -7x = 22 + 0
6 + -7x = 22

Add '-6' to each side of the equation.
6 + -6 + -7x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 22 + -6
-7x = 22 + -6

Combine like terms: 22 + -6 = 16
-7x = 16

Divide each side by '-7'.
x = -2.285714286

Simplifying
x = -2.285714286

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