7x-3(5x+13)=17

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Solution for 7x-3(5x+13)=17 equation:


Simplifying
7x + -3(5x + 13) = 17

Reorder the terms:
7x + -3(13 + 5x) = 17
7x + (13 * -3 + 5x * -3) = 17
7x + (-39 + -15x) = 17

Reorder the terms:
-39 + 7x + -15x = 17

Combine like terms: 7x + -15x = -8x
-39 + -8x = 17

Solving
-39 + -8x = 17

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + -8x = 17 + 39

Combine like terms: -39 + 39 = 0
0 + -8x = 17 + 39
-8x = 17 + 39

Combine like terms: 17 + 39 = 56
-8x = 56

Divide each side by '-8'.
x = -7

Simplifying
x = -7

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