5x+24-2(3x+4)=3x+32

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Solution for 5x+24-2(3x+4)=3x+32 equation: 


Simplifying
5x + 24 + -2(3x + 4) = 3x + 32

Reorder the terms:
5x + 24 + -2(4 + 3x) = 3x + 32
5x + 24 + (4 * -2 + 3x * -2) = 3x + 32
5x + 24 + (-8 + -6x) = 3x + 32

Reorder the terms:
24 + -8 + 5x + -6x = 3x + 32

Combine like terms: 24 + -8 = 16
16 + 5x + -6x = 3x + 32

Combine like terms: 5x + -6x = -1x
16 + -1x = 3x + 32

Reorder the terms:
16 + -1x = 32 + 3x

Solving
16 + -1x = 32 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -1x + -3x = 32 + 3x + -3x

Combine like terms: -1x + -3x = -4x
16 + -4x = 32 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -4x = 32 + 0
16 + -4x = 32

Add '-16' to each side of the equation.
16 + -16 + -4x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 32 + -16
-4x = 32 + -16

Combine like terms: 32 + -16 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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