3(x+5)+2(x-20)=64

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Solution for 3(x+5)+2(x-20)=64 equation: 


Simplifying
3(x + 5) + 2(x + -20) = 64

Reorder the terms:
3(5 + x) + 2(x + -20) = 64
(5 * 3 + x * 3) + 2(x + -20) = 64
(15 + 3x) + 2(x + -20) = 64

Reorder the terms:
15 + 3x + 2(-20 + x) = 64
15 + 3x + (-20 * 2 + x * 2) = 64
15 + 3x + (-40 + 2x) = 64

Reorder the terms:
15 + -40 + 3x + 2x = 64

Combine like terms: 15 + -40 = -25
-25 + 3x + 2x = 64

Combine like terms: 3x + 2x = 5x
-25 + 5x = 64

Solving
-25 + 5x = 64

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 + 5x = 64 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = 64 + 25
5x = 64 + 25

Combine like terms: 64 + 25 = 89
5x = 89

Divide each side by '5'.
x = 17.8

Simplifying
x = 17.8

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