3x-3(2x-7)=3(3x-8)+8x

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Solution for 3x-3(2x-7)=3(3x-8)+8x equation:


Simplifying
3x + -3(2x + -7) = 3(3x + -8) + 8x

Reorder the terms:
3x + -3(-7 + 2x) = 3(3x + -8) + 8x
3x + (-7 * -3 + 2x * -3) = 3(3x + -8) + 8x
3x + (21 + -6x) = 3(3x + -8) + 8x

Reorder the terms:
21 + 3x + -6x = 3(3x + -8) + 8x

Combine like terms: 3x + -6x = -3x
21 + -3x = 3(3x + -8) + 8x

Reorder the terms:
21 + -3x = 3(-8 + 3x) + 8x
21 + -3x = (-8 * 3 + 3x * 3) + 8x
21 + -3x = (-24 + 9x) + 8x

Combine like terms: 9x + 8x = 17x
21 + -3x = -24 + 17x

Solving
21 + -3x = -24 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
21 + -3x + -17x = -24 + 17x + -17x

Combine like terms: -3x + -17x = -20x
21 + -20x = -24 + 17x + -17x

Combine like terms: 17x + -17x = 0
21 + -20x = -24 + 0
21 + -20x = -24

Add '-21' to each side of the equation.
21 + -21 + -20x = -24 + -21

Combine like terms: 21 + -21 = 0
0 + -20x = -24 + -21
-20x = -24 + -21

Combine like terms: -24 + -21 = -45
-20x = -45

Divide each side by '-20'.
x = 2.25

Simplifying
x = 2.25

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