38-4x=7x-6(6+8x)

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Solution for 38-4x=7x-6(6+8x) equation:


Simplifying
38 + -4x = 7x + -6(6 + 8x)
38 + -4x = 7x + (6 * -6 + 8x * -6)
38 + -4x = 7x + (-36 + -48x)

Reorder the terms:
38 + -4x = -36 + 7x + -48x

Combine like terms: 7x + -48x = -41x
38 + -4x = -36 + -41x

Solving
38 + -4x = -36 + -41x

Solving for variable 'x'.

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

Add '41x' to each side of the equation.
38 + -4x + 41x = -36 + -41x + 41x

Combine like terms: -4x + 41x = 37x
38 + 37x = -36 + -41x + 41x

Combine like terms: -41x + 41x = 0
38 + 37x = -36 + 0
38 + 37x = -36

Add '-38' to each side of the equation.
38 + -38 + 37x = -36 + -38

Combine like terms: 38 + -38 = 0
0 + 37x = -36 + -38
37x = -36 + -38

Combine like terms: -36 + -38 = -74
37x = -74

Divide each side by '37'.
x = -2

Simplifying
x = -2

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