3(4x+12)-2(3x+5)=38

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Solution for 3(4x+12)-2(3x+5)=38 equation:


Simplifying
3(4x + 12) + -2(3x + 5) = 38

Reorder the terms:
3(12 + 4x) + -2(3x + 5) = 38
(12 * 3 + 4x * 3) + -2(3x + 5) = 38
(36 + 12x) + -2(3x + 5) = 38

Reorder the terms:
36 + 12x + -2(5 + 3x) = 38
36 + 12x + (5 * -2 + 3x * -2) = 38
36 + 12x + (-10 + -6x) = 38

Reorder the terms:
36 + -10 + 12x + -6x = 38

Combine like terms: 36 + -10 = 26
26 + 12x + -6x = 38

Combine like terms: 12x + -6x = 6x
26 + 6x = 38

Solving
26 + 6x = 38

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 6x = 38 + -26

Combine like terms: 26 + -26 = 0
0 + 6x = 38 + -26
6x = 38 + -26

Combine like terms: 38 + -26 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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