5(7x-4)+12x=3x-17

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Solution for 5(7x-4)+12x=3x-17 equation:


Simplifying
5(7x + -4) + 12x = 3x + -17

Reorder the terms:
5(-4 + 7x) + 12x = 3x + -17
(-4 * 5 + 7x * 5) + 12x = 3x + -17
(-20 + 35x) + 12x = 3x + -17

Combine like terms: 35x + 12x = 47x
-20 + 47x = 3x + -17

Reorder the terms:
-20 + 47x = -17 + 3x

Solving
-20 + 47x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 47x + -3x = -17 + 3x + -3x

Combine like terms: 47x + -3x = 44x
-20 + 44x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 44x = -17 + 0
-20 + 44x = -17

Add '20' to each side of the equation.
-20 + 20 + 44x = -17 + 20

Combine like terms: -20 + 20 = 0
0 + 44x = -17 + 20
44x = -17 + 20

Combine like terms: -17 + 20 = 3
44x = 3

Divide each side by '44'.
x = 0.06818181818

Simplifying
x = 0.06818181818

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