3(x+5)+2(4x-5)=32

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Solution for 3(x+5)+2(4x-5)=32 equation: 


Simplifying
3(x + 5) + 2(4x + -5) = 32

Reorder the terms:
3(5 + x) + 2(4x + -5) = 32
(5 * 3 + x * 3) + 2(4x + -5) = 32
(15 + 3x) + 2(4x + -5) = 32

Reorder the terms:
15 + 3x + 2(-5 + 4x) = 32
15 + 3x + (-5 * 2 + 4x * 2) = 32
15 + 3x + (-10 + 8x) = 32

Reorder the terms:
15 + -10 + 3x + 8x = 32

Combine like terms: 15 + -10 = 5
5 + 3x + 8x = 32

Combine like terms: 3x + 8x = 11x
5 + 11x = 32

Solving
5 + 11x = 32

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 11x = 32 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 32 + -5
11x = 32 + -5

Combine like terms: 32 + -5 = 27
11x = 27

Divide each side by '11'.
x = 2.454545455

Simplifying
x = 2.454545455

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