x+8=5x+2x+41

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Solution for x+8=5x+2x+41 equation:


Simplifying
x + 8 = 5x + 2x + 41

Reorder the terms:
8 + x = 5x + 2x + 41

Reorder the terms:
8 + x = 41 + 5x + 2x

Combine like terms: 5x + 2x = 7x
8 + x = 41 + 7x

Solving
8 + x = 41 + 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.
8 + x + -7x = 41 + 7x + -7x

Combine like terms: x + -7x = -6x
8 + -6x = 41 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -6x = 41 + 0
8 + -6x = 41

Add '-8' to each side of the equation.
8 + -8 + -6x = 41 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 41 + -8
-6x = 41 + -8

Combine like terms: 41 + -8 = 33
-6x = 33

Divide each side by '-6'.
x = -5.5

Simplifying
x = -5.5

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