3-6(x-4)=-8x+37

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Solution for 3-6(x-4)=-8x+37 equation:


Simplifying
3 + -6(x + -4) = -8x + 37

Reorder the terms:
3 + -6(-4 + x) = -8x + 37
3 + (-4 * -6 + x * -6) = -8x + 37
3 + (24 + -6x) = -8x + 37

Combine like terms: 3 + 24 = 27
27 + -6x = -8x + 37

Reorder the terms:
27 + -6x = 37 + -8x

Solving
27 + -6x = 37 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
27 + -6x + 8x = 37 + -8x + 8x

Combine like terms: -6x + 8x = 2x
27 + 2x = 37 + -8x + 8x

Combine like terms: -8x + 8x = 0
27 + 2x = 37 + 0
27 + 2x = 37

Add '-27' to each side of the equation.
27 + -27 + 2x = 37 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = 37 + -27
2x = 37 + -27

Combine like terms: 37 + -27 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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