3(5x+2)-3(4x-1)=39

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Solution for 3(5x+2)-3(4x-1)=39 equation:


Simplifying
3(5x + 2) + -3(4x + -1) = 39

Reorder the terms:
3(2 + 5x) + -3(4x + -1) = 39
(2 * 3 + 5x * 3) + -3(4x + -1) = 39
(6 + 15x) + -3(4x + -1) = 39

Reorder the terms:
6 + 15x + -3(-1 + 4x) = 39
6 + 15x + (-1 * -3 + 4x * -3) = 39
6 + 15x + (3 + -12x) = 39

Reorder the terms:
6 + 3 + 15x + -12x = 39

Combine like terms: 6 + 3 = 9
9 + 15x + -12x = 39

Combine like terms: 15x + -12x = 3x
9 + 3x = 39

Solving
9 + 3x = 39

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = 39 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 39 + -9
3x = 39 + -9

Combine like terms: 39 + -9 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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