2(x+4)+3(x-5)=108

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Solution for 2(x+4)+3(x-5)=108 equation:


Simplifying
2(x + 4) + 3(x + -5) = 108

Reorder the terms:
2(4 + x) + 3(x + -5) = 108
(4 * 2 + x * 2) + 3(x + -5) = 108
(8 + 2x) + 3(x + -5) = 108

Reorder the terms:
8 + 2x + 3(-5 + x) = 108
8 + 2x + (-5 * 3 + x * 3) = 108
8 + 2x + (-15 + 3x) = 108

Reorder the terms:
8 + -15 + 2x + 3x = 108

Combine like terms: 8 + -15 = -7
-7 + 2x + 3x = 108

Combine like terms: 2x + 3x = 5x
-7 + 5x = 108

Solving
-7 + 5x = 108

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 = 108 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 108 + 7
5x = 108 + 7

Combine like terms: 108 + 7 = 115
5x = 115

Divide each side by '5'.
x = 23

Simplifying
x = 23

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