6(1-3x)=-38-7x

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Solution for 6(1-3x)=-38-7x equation:


Simplifying
6(1 + -3x) = -38 + -7x
(1 * 6 + -3x * 6) = -38 + -7x
(6 + -18x) = -38 + -7x

Solving
6 + -18x = -38 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + -18x + 7x = -38 + -7x + 7x

Combine like terms: -18x + 7x = -11x
6 + -11x = -38 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + -11x = -38 + 0
6 + -11x = -38

Add '-6' to each side of the equation.
6 + -6 + -11x = -38 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -38 + -6
-11x = -38 + -6

Combine like terms: -38 + -6 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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