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

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


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

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

Reorder the terms:
38 + 3x = -4(6 + 6x) + -4x
38 + 3x = (6 * -4 + 6x * -4) + -4x
38 + 3x = (-24 + -24x) + -4x

Combine like terms: -24x + -4x = -28x
38 + 3x = -24 + -28x

Solving
38 + 3x = -24 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
38 + 3x + 28x = -24 + -28x + 28x

Combine like terms: 3x + 28x = 31x
38 + 31x = -24 + -28x + 28x

Combine like terms: -28x + 28x = 0
38 + 31x = -24 + 0
38 + 31x = -24

Add '-38' to each side of the equation.
38 + -38 + 31x = -24 + -38

Combine like terms: 38 + -38 = 0
0 + 31x = -24 + -38
31x = -24 + -38

Combine like terms: -24 + -38 = -62
31x = -62

Divide each side by '31'.
x = -2

Simplifying
x = -2

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