3(x+5)+2(x-4)=27

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Solution for 3(x+5)+2(x-4)=27 equation: 


Simplifying
3(x + 5) + 2(x + -4) = 27

Reorder the terms:
3(5 + x) + 2(x + -4) = 27
(5 * 3 + x * 3) + 2(x + -4) = 27
(15 + 3x) + 2(x + -4) = 27

Reorder the terms:
15 + 3x + 2(-4 + x) = 27
15 + 3x + (-4 * 2 + x * 2) = 27
15 + 3x + (-8 + 2x) = 27

Reorder the terms:
15 + -8 + 3x + 2x = 27

Combine like terms: 15 + -8 = 7
7 + 3x + 2x = 27

Combine like terms: 3x + 2x = 5x
7 + 5x = 27

Solving
7 + 5x = 27

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 27 + -7
5x = 27 + -7

Combine like terms: 27 + -7 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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