-38=4(3x+4)-6

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Solution for -38=4(3x+4)-6 equation:


Simplifying
-38 = 4(3x + 4) + -6

Reorder the terms:
-38 = 4(4 + 3x) + -6
-38 = (4 * 4 + 3x * 4) + -6
-38 = (16 + 12x) + -6

Reorder the terms:
-38 = 16 + -6 + 12x

Combine like terms: 16 + -6 = 10
-38 = 10 + 12x

Solving
-38 = 10 + 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 + -12x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0
-38 + -12x = 10 + 0
-38 + -12x = 10

Add '38' to each side of the equation.
-38 + 38 + -12x = 10 + 38

Combine like terms: -38 + 38 = 0
0 + -12x = 10 + 38
-12x = 10 + 38

Combine like terms: 10 + 38 = 48
-12x = 48

Divide each side by '-12'.
x = -4

Simplifying
x = -4

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