2x-3(x-7)=9-5x

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Solution for 2x-3(x-7)=9-5x equation:


Simplifying
2x + -3(x + -7) = 9 + -5x

Reorder the terms:
2x + -3(-7 + x) = 9 + -5x
2x + (-7 * -3 + x * -3) = 9 + -5x
2x + (21 + -3x) = 9 + -5x

Reorder the terms:
21 + 2x + -3x = 9 + -5x

Combine like terms: 2x + -3x = -1x
21 + -1x = 9 + -5x

Solving
21 + -1x = 9 + -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 + -1x + 5x = 9 + -5x + 5x

Combine like terms: -1x + 5x = 4x
21 + 4x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
21 + 4x = 9 + 0
21 + 4x = 9

Add '-21' to each side of the equation.
21 + -21 + 4x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 9 + -21
4x = 9 + -21

Combine like terms: 9 + -21 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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