38-10x=-4(1+8x)-2

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Solution for 38-10x=-4(1+8x)-2 equation:


Simplifying
38 + -10x = -4(1 + 8x) + -2
38 + -10x = (1 * -4 + 8x * -4) + -2
38 + -10x = (-4 + -32x) + -2

Reorder the terms:
38 + -10x = -4 + -2 + -32x

Combine like terms: -4 + -2 = -6
38 + -10x = -6 + -32x

Solving
38 + -10x = -6 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
38 + -10x + 32x = -6 + -32x + 32x

Combine like terms: -10x + 32x = 22x
38 + 22x = -6 + -32x + 32x

Combine like terms: -32x + 32x = 0
38 + 22x = -6 + 0
38 + 22x = -6

Add '-38' to each side of the equation.
38 + -38 + 22x = -6 + -38

Combine like terms: 38 + -38 = 0
0 + 22x = -6 + -38
22x = -6 + -38

Combine like terms: -6 + -38 = -44
22x = -44

Divide each side by '22'.
x = -2

Simplifying
x = -2

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