6(3x-4)-(1-3x)=-67

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Solution for 6(3x-4)-(1-3x)=-67 equation:


Simplifying
6(3x + -4) + -1(1 + -3x) = -67

Reorder the terms:
6(-4 + 3x) + -1(1 + -3x) = -67
(-4 * 6 + 3x * 6) + -1(1 + -3x) = -67
(-24 + 18x) + -1(1 + -3x) = -67
-24 + 18x + (1 * -1 + -3x * -1) = -67
-24 + 18x + (-1 + 3x) = -67

Reorder the terms:
-24 + -1 + 18x + 3x = -67

Combine like terms: -24 + -1 = -25
-25 + 18x + 3x = -67

Combine like terms: 18x + 3x = 21x
-25 + 21x = -67

Solving
-25 + 21x = -67

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 21x = -67 + 25

Combine like terms: -25 + 25 = 0
0 + 21x = -67 + 25
21x = -67 + 25

Combine like terms: -67 + 25 = -42
21x = -42

Divide each side by '21'.
x = -2

Simplifying
x = -2

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