(3x-8)+(7x+4)=33

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Solution for (3x-8)+(7x+4)=33 equation:


Simplifying
(3x + -8) + (7x + 4) = 33

Reorder the terms:
(-8 + 3x) + (7x + 4) = 33

Remove parenthesis around (-8 + 3x)
-8 + 3x + (7x + 4) = 33

Reorder the terms:
-8 + 3x + (4 + 7x) = 33

Remove parenthesis around (4 + 7x)
-8 + 3x + 4 + 7x = 33

Reorder the terms:
-8 + 4 + 3x + 7x = 33

Combine like terms: -8 + 4 = -4
-4 + 3x + 7x = 33

Combine like terms: 3x + 7x = 10x
-4 + 10x = 33

Solving
-4 + 10x = 33

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 10x = 33 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = 33 + 4
10x = 33 + 4

Combine like terms: 33 + 4 = 37
10x = 37

Divide each side by '10'.
x = 3.7

Simplifying
x = 3.7

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