3(x-5)+2(x+7)=29

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Solution for 3(x-5)+2(x+7)=29 equation: 


Simplifying
3(x + -5) + 2(x + 7) = 29

Reorder the terms:
3(-5 + x) + 2(x + 7) = 29
(-5 * 3 + x * 3) + 2(x + 7) = 29
(-15 + 3x) + 2(x + 7) = 29

Reorder the terms:
-15 + 3x + 2(7 + x) = 29
-15 + 3x + (7 * 2 + x * 2) = 29
-15 + 3x + (14 + 2x) = 29

Reorder the terms:
-15 + 14 + 3x + 2x = 29

Combine like terms: -15 + 14 = -1
-1 + 3x + 2x = 29

Combine like terms: 3x + 2x = 5x
-1 + 5x = 29

Solving
-1 + 5x = 29

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 29 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 29 + 1
5x = 29 + 1

Combine like terms: 29 + 1 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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