3(x+4)+2(x-7)=38

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Solution for 3(x+4)+2(x-7)=38 equation: 


Simplifying
3(x + 4) + 2(x + -7) = 38

Reorder the terms:
3(4 + x) + 2(x + -7) = 38
(4 * 3 + x * 3) + 2(x + -7) = 38
(12 + 3x) + 2(x + -7) = 38

Reorder the terms:
12 + 3x + 2(-7 + x) = 38
12 + 3x + (-7 * 2 + x * 2) = 38
12 + 3x + (-14 + 2x) = 38

Reorder the terms:
12 + -14 + 3x + 2x = 38

Combine like terms: 12 + -14 = -2
-2 + 3x + 2x = 38

Combine like terms: 3x + 2x = 5x
-2 + 5x = 38

Solving
-2 + 5x = 38

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 38 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 38 + 2
5x = 38 + 2

Combine like terms: 38 + 2 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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