3(x+4)-5(3x-2)=8

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Solution for 3(x+4)-5(3x-2)=8 equation:


Simplifying
3(x + 4) + -5(3x + -2) = 8

Reorder the terms:
3(4 + x) + -5(3x + -2) = 8
(4 * 3 + x * 3) + -5(3x + -2) = 8
(12 + 3x) + -5(3x + -2) = 8

Reorder the terms:
12 + 3x + -5(-2 + 3x) = 8
12 + 3x + (-2 * -5 + 3x * -5) = 8
12 + 3x + (10 + -15x) = 8

Reorder the terms:
12 + 10 + 3x + -15x = 8

Combine like terms: 12 + 10 = 22
22 + 3x + -15x = 8

Combine like terms: 3x + -15x = -12x
22 + -12x = 8

Solving
22 + -12x = 8

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -12x = 8 + -22

Combine like terms: 22 + -22 = 0
0 + -12x = 8 + -22
-12x = 8 + -22

Combine like terms: 8 + -22 = -14
-12x = -14

Divide each side by '-12'.
x = 1.166666667

Simplifying
x = 1.166666667

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