(10x+8)+(6x+33)=4x-19

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Solution for (10x+8)+(6x+33)=4x-19 equation:


Simplifying
(10x + 8) + (6x + 33) = 4x + -19

Reorder the terms:
(8 + 10x) + (6x + 33) = 4x + -19

Remove parenthesis around (8 + 10x)
8 + 10x + (6x + 33) = 4x + -19

Reorder the terms:
8 + 10x + (33 + 6x) = 4x + -19

Remove parenthesis around (33 + 6x)
8 + 10x + 33 + 6x = 4x + -19

Reorder the terms:
8 + 33 + 10x + 6x = 4x + -19

Combine like terms: 8 + 33 = 41
41 + 10x + 6x = 4x + -19

Combine like terms: 10x + 6x = 16x
41 + 16x = 4x + -19

Reorder the terms:
41 + 16x = -19 + 4x

Solving
41 + 16x = -19 + 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.
41 + 16x + -4x = -19 + 4x + -4x

Combine like terms: 16x + -4x = 12x
41 + 12x = -19 + 4x + -4x

Combine like terms: 4x + -4x = 0
41 + 12x = -19 + 0
41 + 12x = -19

Add '-41' to each side of the equation.
41 + -41 + 12x = -19 + -41

Combine like terms: 41 + -41 = 0
0 + 12x = -19 + -41
12x = -19 + -41

Combine like terms: -19 + -41 = -60
12x = -60

Divide each side by '12'.
x = -5

Simplifying
x = -5

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