38=4(4x+3)-6

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


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

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

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

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

Solving
38 = 6 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
38 + -16x = 6 + 16x + -16x

Combine like terms: 16x + -16x = 0
38 + -16x = 6 + 0
38 + -16x = 6

Add '-38' to each side of the equation.
38 + -38 + -16x = 6 + -38

Combine like terms: 38 + -38 = 0
0 + -16x = 6 + -38
-16x = 6 + -38

Combine like terms: 6 + -38 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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