3(x-24)=9-2(x-2)

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Solution for 3(x-24)=9-2(x-2) equation:


Simplifying
3(x + -24) = 9 + -2(x + -2)

Reorder the terms:
3(-24 + x) = 9 + -2(x + -2)
(-24 * 3 + x * 3) = 9 + -2(x + -2)
(-72 + 3x) = 9 + -2(x + -2)

Reorder the terms:
-72 + 3x = 9 + -2(-2 + x)
-72 + 3x = 9 + (-2 * -2 + x * -2)
-72 + 3x = 9 + (4 + -2x)

Combine like terms: 9 + 4 = 13
-72 + 3x = 13 + -2x

Solving
-72 + 3x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-72 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-72 + 5x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-72 + 5x = 13 + 0
-72 + 5x = 13

Add '72' to each side of the equation.
-72 + 72 + 5x = 13 + 72

Combine like terms: -72 + 72 = 0
0 + 5x = 13 + 72
5x = 13 + 72

Combine like terms: 13 + 72 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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