7x+14-8x+24=3-4x-4-2

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Solution for 7x+14-8x+24=3-4x-4-2 equation: 


Simplifying
7x + 14 + -8x + 24 = 3 + -4x + -4 + -2

Reorder the terms:
14 + 24 + 7x + -8x = 3 + -4x + -4 + -2

Combine like terms: 14 + 24 = 38
38 + 7x + -8x = 3 + -4x + -4 + -2

Combine like terms: 7x + -8x = -1x
38 + -1x = 3 + -4x + -4 + -2

Reorder the terms:
38 + -1x = 3 + -4 + -2 + -4x

Combine like terms: 3 + -4 = -1
38 + -1x = -1 + -2 + -4x

Combine like terms: -1 + -2 = -3
38 + -1x = -3 + -4x

Solving
38 + -1x = -3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
38 + -1x + 4x = -3 + -4x + 4x

Combine like terms: -1x + 4x = 3x
38 + 3x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
38 + 3x = -3 + 0
38 + 3x = -3

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

Combine like terms: 38 + -38 = 0
0 + 3x = -3 + -38
3x = -3 + -38

Combine like terms: -3 + -38 = -41
3x = -41

Divide each side by '3'.
x = -13.66666667

Simplifying
x = -13.66666667

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