-3(7-2x)=5(x+4)-17

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Solution for -3(7-2x)=5(x+4)-17 equation: 


Simplifying
-3(7 + -2x) = 5(x + 4) + -17
(7 * -3 + -2x * -3) = 5(x + 4) + -17
(-21 + 6x) = 5(x + 4) + -17

Reorder the terms:
-21 + 6x = 5(4 + x) + -17
-21 + 6x = (4 * 5 + x * 5) + -17
-21 + 6x = (20 + 5x) + -17

Reorder the terms:
-21 + 6x = 20 + -17 + 5x

Combine like terms: 20 + -17 = 3
-21 + 6x = 3 + 5x

Solving
-21 + 6x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 6x + -5x = 3 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-21 + 1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 1x = 3 + 0
-21 + 1x = 3

Add '21' to each side of the equation.
-21 + 21 + 1x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 3 + 21
1x = 3 + 21

Combine like terms: 3 + 21 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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