2(3x+1)-3(x-4)=5

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Solution for 2(3x+1)-3(x-4)=5 equation:


Simplifying
2(3x + 1) + -3(x + -4) = 5

Reorder the terms:
2(1 + 3x) + -3(x + -4) = 5
(1 * 2 + 3x * 2) + -3(x + -4) = 5
(2 + 6x) + -3(x + -4) = 5

Reorder the terms:
2 + 6x + -3(-4 + x) = 5
2 + 6x + (-4 * -3 + x * -3) = 5
2 + 6x + (12 + -3x) = 5

Reorder the terms:
2 + 12 + 6x + -3x = 5

Combine like terms: 2 + 12 = 14
14 + 6x + -3x = 5

Combine like terms: 6x + -3x = 3x
14 + 3x = 5

Solving
14 + 3x = 5

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 5 + -14
3x = 5 + -14

Combine like terms: 5 + -14 = -9
3x = -9

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

Simplifying
x = -3

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