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

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


Simplifying
-1(x + 3) + 7(x + -4) = 17

Reorder the terms:
-1(3 + x) + 7(x + -4) = 17
(3 * -1 + x * -1) + 7(x + -4) = 17
(-3 + -1x) + 7(x + -4) = 17

Reorder the terms:
-3 + -1x + 7(-4 + x) = 17
-3 + -1x + (-4 * 7 + x * 7) = 17
-3 + -1x + (-28 + 7x) = 17

Reorder the terms:
-3 + -28 + -1x + 7x = 17

Combine like terms: -3 + -28 = -31
-31 + -1x + 7x = 17

Combine like terms: -1x + 7x = 6x
-31 + 6x = 17

Solving
-31 + 6x = 17

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 6x = 17 + 31

Combine like terms: -31 + 31 = 0
0 + 6x = 17 + 31
6x = 17 + 31

Combine like terms: 17 + 31 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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