5x-8+3(x-3)=x+24

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Solution for 5x-8+3(x-3)=x+24 equation:


Simplifying
5x + -8 + 3(x + -3) = x + 24

Reorder the terms:
5x + -8 + 3(-3 + x) = x + 24
5x + -8 + (-3 * 3 + x * 3) = x + 24
5x + -8 + (-9 + 3x) = x + 24

Reorder the terms:
-8 + -9 + 5x + 3x = x + 24

Combine like terms: -8 + -9 = -17
-17 + 5x + 3x = x + 24

Combine like terms: 5x + 3x = 8x
-17 + 8x = x + 24

Reorder the terms:
-17 + 8x = 24 + x

Solving
-17 + 8x = 24 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-17 + 8x + -1x = 24 + x + -1x

Combine like terms: 8x + -1x = 7x
-17 + 7x = 24 + x + -1x

Combine like terms: x + -1x = 0
-17 + 7x = 24 + 0
-17 + 7x = 24

Add '17' to each side of the equation.
-17 + 17 + 7x = 24 + 17

Combine like terms: -17 + 17 = 0
0 + 7x = 24 + 17
7x = 24 + 17

Combine like terms: 24 + 17 = 41
7x = 41

Divide each side by '7'.
x = 5.857142857

Simplifying
x = 5.857142857

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