(3x-5)+(7x-3)=50

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Solution for (3x-5)+(7x-3)=50 equation:


Simplifying
(3x + -5) + (7x + -3) = 50

Reorder the terms:
(-5 + 3x) + (7x + -3) = 50

Remove parenthesis around (-5 + 3x)
-5 + 3x + (7x + -3) = 50

Reorder the terms:
-5 + 3x + (-3 + 7x) = 50

Remove parenthesis around (-3 + 7x)
-5 + 3x + -3 + 7x = 50

Reorder the terms:
-5 + -3 + 3x + 7x = 50

Combine like terms: -5 + -3 = -8
-8 + 3x + 7x = 50

Combine like terms: 3x + 7x = 10x
-8 + 10x = 50

Solving
-8 + 10x = 50

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 10x = 50 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 50 + 8
10x = 50 + 8

Combine like terms: 50 + 8 = 58
10x = 58

Divide each side by '10'.
x = 5.8

Simplifying
x = 5.8

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