38=-6x-3(-7x+16)

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Solution for 38=-6x-3(-7x+16) equation:


Simplifying
38 = -6x + -3(-7x + 16)

Reorder the terms:
38 = -6x + -3(16 + -7x)
38 = -6x + (16 * -3 + -7x * -3)
38 = -6x + (-48 + 21x)

Reorder the terms:
38 = -48 + -6x + 21x

Combine like terms: -6x + 21x = 15x
38 = -48 + 15x

Solving
38 = -48 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
38 + -15x = -48 + 15x + -15x

Combine like terms: 15x + -15x = 0
38 + -15x = -48 + 0
38 + -15x = -48

Add '-38' to each side of the equation.
38 + -38 + -15x = -48 + -38

Combine like terms: 38 + -38 = 0
0 + -15x = -48 + -38
-15x = -48 + -38

Combine like terms: -48 + -38 = -86
-15x = -86

Divide each side by '-15'.
x = 5.733333333

Simplifying
x = 5.733333333

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