3x-24=5-(x-2)

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Solution for 3x-24=5-(x-2) equation:


Simplifying
3x + -24 = 5 + -1(x + -2)

Reorder the terms:
-24 + 3x = 5 + -1(x + -2)

Reorder the terms:
-24 + 3x = 5 + -1(-2 + x)
-24 + 3x = 5 + (-2 * -1 + x * -1)
-24 + 3x = 5 + (2 + -1x)

Combine like terms: 5 + 2 = 7
-24 + 3x = 7 + -1x

Solving
-24 + 3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-24 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
-24 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 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 = 31
4x = 31

Divide each side by '4'.
x = 7.75

Simplifying
x = 7.75

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