5x+24=12x-46

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Solution for 5x+24=12x-46 equation:


Simplifying
5x + 24 = 12x + -46

Reorder the terms:
24 + 5x = 12x + -46

Reorder the terms:
24 + 5x = -46 + 12x

Solving
24 + 5x = -46 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
24 + 5x + -12x = -46 + 12x + -12x

Combine like terms: 5x + -12x = -7x
24 + -7x = -46 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -7x = -46 + 0
24 + -7x = -46

Add '-24' to each side of the equation.
24 + -24 + -7x = -46 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -46 + -24
-7x = -46 + -24

Combine like terms: -46 + -24 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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