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

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


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

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

Reorder the terms:
4 + 2x + 3(-4 + x) = 27
4 + 2x + (-4 * 3 + x * 3) = 27
4 + 2x + (-12 + 3x) = 27

Reorder the terms:
4 + -12 + 2x + 3x = 27

Combine like terms: 4 + -12 = -8
-8 + 2x + 3x = 27

Combine like terms: 2x + 3x = 5x
-8 + 5x = 27

Solving
-8 + 5x = 27

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 27 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 27 + 8
5x = 27 + 8

Combine like terms: 27 + 8 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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