3(x+4)-2(3x-2)=1

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Solution for 3(x+4)-2(3x-2)=1 equation:


Simplifying
3(x + 4) + -2(3x + -2) = 1

Reorder the terms:
3(4 + x) + -2(3x + -2) = 1
(4 * 3 + x * 3) + -2(3x + -2) = 1
(12 + 3x) + -2(3x + -2) = 1

Reorder the terms:
12 + 3x + -2(-2 + 3x) = 1
12 + 3x + (-2 * -2 + 3x * -2) = 1
12 + 3x + (4 + -6x) = 1

Reorder the terms:
12 + 4 + 3x + -6x = 1

Combine like terms: 12 + 4 = 16
16 + 3x + -6x = 1

Combine like terms: 3x + -6x = -3x
16 + -3x = 1

Solving
16 + -3x = 1

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -3x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 1 + -16
-3x = 1 + -16

Combine like terms: 1 + -16 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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