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

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


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

Reorder the terms:
5x + -3(7 + 2x) = 2x + 9
5x + (7 * -3 + 2x * -3) = 2x + 9
5x + (-21 + -6x) = 2x + 9

Reorder the terms:
-21 + 5x + -6x = 2x + 9

Combine like terms: 5x + -6x = -1x
-21 + -1x = 2x + 9

Reorder the terms:
-21 + -1x = 9 + 2x

Solving
-21 + -1x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + -1x + -2x = 9 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-21 + -3x = 9 + 0
-21 + -3x = 9

Add '21' to each side of the equation.
-21 + 21 + -3x = 9 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = 9 + 21
-3x = 9 + 21

Combine like terms: 9 + 21 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10

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