3x+24=7x-16

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Solution for 3x+24=7x-16 equation:


Simplifying
3x + 24 = 7x + -16

Reorder the terms:
24 + 3x = 7x + -16

Reorder the terms:
24 + 3x = -16 + 7x

Solving
24 + 3x = -16 + 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.
24 + 3x + -7x = -16 + 7x + -7x

Combine like terms: 3x + -7x = -4x
24 + -4x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -4x = -16 + 0
24 + -4x = -16

Add '-24' to each side of the equation.
24 + -24 + -4x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = -16 + -24
-4x = -16 + -24

Combine like terms: -16 + -24 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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