6x-4(5-x)=17

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Solution for 6x-4(5-x)=17 equation:


Simplifying
6x + -4(5 + -1x) = 17
6x + (5 * -4 + -1x * -4) = 17
6x + (-20 + 4x) = 17

Reorder the terms:
-20 + 6x + 4x = 17

Combine like terms: 6x + 4x = 10x
-20 + 10x = 17

Solving
-20 + 10x = 17

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 17 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 17 + 20
10x = 17 + 20

Combine like terms: 17 + 20 = 37
10x = 37

Divide each side by '10'.
x = 3.7

Simplifying
x = 3.7

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