4x+24=12x-30

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Solution for 4x+24=12x-30 equation:


Simplifying
4x + 24 = 12x + -30

Reorder the terms:
24 + 4x = 12x + -30

Reorder the terms:
24 + 4x = -30 + 12x

Solving
24 + 4x = -30 + 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 + 4x + -12x = -30 + 12x + -12x

Combine like terms: 4x + -12x = -8x
24 + -8x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -8x = -30 + 0
24 + -8x = -30

Add '-24' to each side of the equation.
24 + -24 + -8x = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = -30 + -24
-8x = -30 + -24

Combine like terms: -30 + -24 = -54
-8x = -54

Divide each side by '-8'.
x = 6.75

Simplifying
x = 6.75

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