(3x-3*7+6x)=21*(-3)-4

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Solution for (3x-3*7+6x)=21*(-3)-4 equation:


Simplifying
(3x + -3 * 7 + 6x) = 21(-3) + -4

Multiply -3 * 7
(3x + -21 + 6x) = 21(-3) + -4

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

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

Remove parenthesis around (-21 + 9x)
-21 + 9x = 21(-3) + -4

Multiply 21 * -3
-21 + 9x = -63 + -4

Combine like terms: -63 + -4 = -67
-21 + 9x = -67

Solving
-21 + 9x = -67

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 9x = -67 + 21

Combine like terms: -21 + 21 = 0
0 + 9x = -67 + 21
9x = -67 + 21

Combine like terms: -67 + 21 = -46
9x = -46

Divide each side by '9'.
x = -5.111111111

Simplifying
x = -5.111111111

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