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

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


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

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

Combine like terms: 3 + 21 = 24
24 + -6x = 2x + -5(x + -3)

Reorder the terms:
24 + -6x = 2x + -5(-3 + x)
24 + -6x = 2x + (-3 * -5 + x * -5)
24 + -6x = 2x + (15 + -5x)

Reorder the terms:
24 + -6x = 15 + 2x + -5x

Combine like terms: 2x + -5x = -3x
24 + -6x = 15 + -3x

Solving
24 + -6x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
24 + -6x + 3x = 15 + -3x + 3x

Combine like terms: -6x + 3x = -3x
24 + -3x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
24 + -3x = 15 + 0
24 + -3x = 15

Add '-24' to each side of the equation.
24 + -24 + -3x = 15 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 15 + -24
-3x = 15 + -24

Combine like terms: 15 + -24 = -9
-3x = -9

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

Simplifying
x = 3

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