3x-4(5x-2)+16=10

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Solution for 3x-4(5x-2)+16=10 equation:


Simplifying
3x + -4(5x + -2) + 16 = 10

Reorder the terms:
3x + -4(-2 + 5x) + 16 = 10
3x + (-2 * -4 + 5x * -4) + 16 = 10
3x + (8 + -20x) + 16 = 10

Reorder the terms:
8 + 16 + 3x + -20x = 10

Combine like terms: 8 + 16 = 24
24 + 3x + -20x = 10

Combine like terms: 3x + -20x = -17x
24 + -17x = 10

Solving
24 + -17x = 10

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -17x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -17x = 10 + -24
-17x = 10 + -24

Combine like terms: 10 + -24 = -14
-17x = -14

Divide each side by '-17'.
x = 0.8235294118

Simplifying
x = 0.8235294118

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