9x-3(x-7)=3(x-4)+3

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Solution for 9x-3(x-7)=3(x-4)+3 equation: 


Simplifying
9x + -3(x + -7) = 3(x + -4) + 3

Reorder the terms:
9x + -3(-7 + x) = 3(x + -4) + 3
9x + (-7 * -3 + x * -3) = 3(x + -4) + 3
9x + (21 + -3x) = 3(x + -4) + 3

Reorder the terms:
21 + 9x + -3x = 3(x + -4) + 3

Combine like terms: 9x + -3x = 6x
21 + 6x = 3(x + -4) + 3

Reorder the terms:
21 + 6x = 3(-4 + x) + 3
21 + 6x = (-4 * 3 + x * 3) + 3
21 + 6x = (-12 + 3x) + 3

Reorder the terms:
21 + 6x = -12 + 3 + 3x

Combine like terms: -12 + 3 = -9
21 + 6x = -9 + 3x

Solving
21 + 6x = -9 + 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.
21 + 6x + -3x = -9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
21 + 3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 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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