-38+5x=-3(-6x-7)+6

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Solution for -38+5x=-3(-6x-7)+6 equation:


Simplifying
-38 + 5x = -3(-6x + -7) + 6

Reorder the terms:
-38 + 5x = -3(-7 + -6x) + 6
-38 + 5x = (-7 * -3 + -6x * -3) + 6
-38 + 5x = (21 + 18x) + 6

Reorder the terms:
-38 + 5x = 21 + 6 + 18x

Combine like terms: 21 + 6 = 27
-38 + 5x = 27 + 18x

Solving
-38 + 5x = 27 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-38 + 5x + -18x = 27 + 18x + -18x

Combine like terms: 5x + -18x = -13x
-38 + -13x = 27 + 18x + -18x

Combine like terms: 18x + -18x = 0
-38 + -13x = 27 + 0
-38 + -13x = 27

Add '38' to each side of the equation.
-38 + 38 + -13x = 27 + 38

Combine like terms: -38 + 38 = 0
0 + -13x = 27 + 38
-13x = 27 + 38

Combine like terms: 27 + 38 = 65
-13x = 65

Divide each side by '-13'.
x = -5

Simplifying
x = -5

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