x+6=5x+3x+18

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Solution for x+6=5x+3x+18 equation:


Simplifying
x + 6 = 5x + 3x + 18

Reorder the terms:
6 + x = 5x + 3x + 18

Reorder the terms:
6 + x = 18 + 5x + 3x

Combine like terms: 5x + 3x = 8x
6 + x = 18 + 8x

Solving
6 + x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + x + -8x = 18 + 8x + -8x

Combine like terms: x + -8x = -7x
6 + -7x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -7x = 18 + 0
6 + -7x = 18

Add '-6' to each side of the equation.
6 + -6 + -7x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 18 + -6
-7x = 18 + -6

Combine like terms: 18 + -6 = 12
-7x = 12

Divide each side by '-7'.
x = -1.714285714

Simplifying
x = -1.714285714

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