5(x+3)-3(x-3)=29

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Solution for 5(x+3)-3(x-3)=29 equation:


Simplifying
5(x + 3) + -3(x + -3) = 29

Reorder the terms:
5(3 + x) + -3(x + -3) = 29
(3 * 5 + x * 5) + -3(x + -3) = 29
(15 + 5x) + -3(x + -3) = 29

Reorder the terms:
15 + 5x + -3(-3 + x) = 29
15 + 5x + (-3 * -3 + x * -3) = 29
15 + 5x + (9 + -3x) = 29

Reorder the terms:
15 + 9 + 5x + -3x = 29

Combine like terms: 15 + 9 = 24
24 + 5x + -3x = 29

Combine like terms: 5x + -3x = 2x
24 + 2x = 29

Solving
24 + 2x = 29

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 2x = 29 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 29 + -24
2x = 29 + -24

Combine like terms: 29 + -24 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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