x+24=6x-66

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Solution for x+24=6x-66 equation:


Simplifying
x + 24 = 6x + -66

Reorder the terms:
24 + x = 6x + -66

Reorder the terms:
24 + x = -66 + 6x

Solving
24 + x = -66 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + x + -6x = -66 + 6x + -6x

Combine like terms: x + -6x = -5x
24 + -5x = -66 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -5x = -66 + 0
24 + -5x = -66

Add '-24' to each side of the equation.
24 + -24 + -5x = -66 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = -66 + -24
-5x = -66 + -24

Combine like terms: -66 + -24 = -90
-5x = -90

Divide each side by '-5'.
x = 18

Simplifying
x = 18

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