-32+6(3x+4)=-(5x+38)+3x

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Solution for -32+6(3x+4)=-(5x+38)+3x equation:


Simplifying
-32 + 6(3x + 4) = -1(5x + 38) + 3x

Reorder the terms:
-32 + 6(4 + 3x) = -1(5x + 38) + 3x
-32 + (4 * 6 + 3x * 6) = -1(5x + 38) + 3x
-32 + (24 + 18x) = -1(5x + 38) + 3x

Combine like terms: -32 + 24 = -8
-8 + 18x = -1(5x + 38) + 3x

Reorder the terms:
-8 + 18x = -1(38 + 5x) + 3x
-8 + 18x = (38 * -1 + 5x * -1) + 3x
-8 + 18x = (-38 + -5x) + 3x

Combine like terms: -5x + 3x = -2x
-8 + 18x = -38 + -2x

Solving
-8 + 18x = -38 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-8 + 18x + 2x = -38 + -2x + 2x

Combine like terms: 18x + 2x = 20x
-8 + 20x = -38 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 20x = -38 + 0
-8 + 20x = -38

Add '8' to each side of the equation.
-8 + 8 + 20x = -38 + 8

Combine like terms: -8 + 8 = 0
0 + 20x = -38 + 8
20x = -38 + 8

Combine like terms: -38 + 8 = -30
20x = -30

Divide each side by '20'.
x = -1.5

Simplifying
x = -1.5

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