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

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


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

Reorder the terms:
3x + -7(-3 + 2x) = 3(-2x + 9)
3x + (-3 * -7 + 2x * -7) = 3(-2x + 9)
3x + (21 + -14x) = 3(-2x + 9)

Reorder the terms:
21 + 3x + -14x = 3(-2x + 9)

Combine like terms: 3x + -14x = -11x
21 + -11x = 3(-2x + 9)

Reorder the terms:
21 + -11x = 3(9 + -2x)
21 + -11x = (9 * 3 + -2x * 3)
21 + -11x = (27 + -6x)

Solving
21 + -11x = 27 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
21 + -11x + 6x = 27 + -6x + 6x

Combine like terms: -11x + 6x = -5x
21 + -5x = 27 + -6x + 6x

Combine like terms: -6x + 6x = 0
21 + -5x = 27 + 0
21 + -5x = 27

Add '-21' to each side of the equation.
21 + -21 + -5x = 27 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 27 + -21
-5x = 27 + -21

Combine like terms: 27 + -21 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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