3x-24=7x-7

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


Simplifying
3x + -24 = 7x + -7

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

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

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

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

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

Add '24' to each side of the equation.
-24 + 24 + -4x = -7 + 24

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

Combine like terms: -7 + 24 = 17
-4x = 17

Divide each side by '-4'.
x = -4.25

Simplifying
x = -4.25

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