x-38=3(4x+2)

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Solution for x-38=3(4x+2) equation:


Simplifying
x + -38 = 3(4x + 2)

Reorder the terms:
-38 + x = 3(4x + 2)

Reorder the terms:
-38 + x = 3(2 + 4x)
-38 + x = (2 * 3 + 4x * 3)
-38 + x = (6 + 12x)

Solving
-38 + x = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-38 + x + -12x = 6 + 12x + -12x

Combine like terms: x + -12x = -11x
-38 + -11x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-38 + -11x = 6 + 0
-38 + -11x = 6

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

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

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

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

Simplifying
x = -4

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