5(x+2)-3(x-5)=29

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Solution for 5(x+2)-3(x-5)=29 equation: 


Simplifying
5(x + 2) + -3(x + -5) = 29

Reorder the terms:
5(2 + x) + -3(x + -5) = 29
(2 * 5 + x * 5) + -3(x + -5) = 29
(10 + 5x) + -3(x + -5) = 29

Reorder the terms:
10 + 5x + -3(-5 + x) = 29
10 + 5x + (-5 * -3 + x * -3) = 29
10 + 5x + (15 + -3x) = 29

Reorder the terms:
10 + 15 + 5x + -3x = 29

Combine like terms: 10 + 15 = 25
25 + 5x + -3x = 29

Combine like terms: 5x + -3x = 2x
25 + 2x = 29

Solving
25 + 2x = 29

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 2x = 29 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 29 + -25
2x = 29 + -25

Combine like terms: 29 + -25 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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