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

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


Simplifying
5x + 3(-1x + -7) = 3 + -1x

Reorder the terms:
5x + 3(-7 + -1x) = 3 + -1x
5x + (-7 * 3 + -1x * 3) = 3 + -1x
5x + (-21 + -3x) = 3 + -1x

Reorder the terms:
-21 + 5x + -3x = 3 + -1x

Combine like terms: 5x + -3x = 2x
-21 + 2x = 3 + -1x

Solving
-21 + 2x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 2x + x = 3 + -1x + x

Combine like terms: 2x + x = 3x
-21 + 3x = 3 + -1x + x

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

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

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

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

Divide each side by '3'.
x = 8

Simplifying
x = 8

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