(7x-4)+(10x+3)+19=52

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Solution for (7x-4)+(10x+3)+19=52 equation:


Simplifying
(7x + -4) + (10x + 3) + 19 = 52

Reorder the terms:
(-4 + 7x) + (10x + 3) + 19 = 52

Remove parenthesis around (-4 + 7x)
-4 + 7x + (10x + 3) + 19 = 52

Reorder the terms:
-4 + 7x + (3 + 10x) + 19 = 52

Remove parenthesis around (3 + 10x)
-4 + 7x + 3 + 10x + 19 = 52

Reorder the terms:
-4 + 3 + 19 + 7x + 10x = 52

Combine like terms: -4 + 3 = -1
-1 + 19 + 7x + 10x = 52

Combine like terms: -1 + 19 = 18
18 + 7x + 10x = 52

Combine like terms: 7x + 10x = 17x
18 + 17x = 52

Solving
18 + 17x = 52

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 17x = 52 + -18

Combine like terms: 18 + -18 = 0
0 + 17x = 52 + -18
17x = 52 + -18

Combine like terms: 52 + -18 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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