3(4x-1)-2(3x+2)=17

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Solution for 3(4x-1)-2(3x+2)=17 equation:


Simplifying
3(4x + -1) + -2(3x + 2) = 17

Reorder the terms:
3(-1 + 4x) + -2(3x + 2) = 17
(-1 * 3 + 4x * 3) + -2(3x + 2) = 17
(-3 + 12x) + -2(3x + 2) = 17

Reorder the terms:
-3 + 12x + -2(2 + 3x) = 17
-3 + 12x + (2 * -2 + 3x * -2) = 17
-3 + 12x + (-4 + -6x) = 17

Reorder the terms:
-3 + -4 + 12x + -6x = 17

Combine like terms: -3 + -4 = -7
-7 + 12x + -6x = 17

Combine like terms: 12x + -6x = 6x
-7 + 6x = 17

Solving
-7 + 6x = 17

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 17 + 7
6x = 17 + 7

Combine like terms: 17 + 7 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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