5(2x-3)+(7x+2)=37

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Solution for 5(2x-3)+(7x+2)=37 equation:


Simplifying
5(2x + -3) + (7x + 2) = 37

Reorder the terms:
5(-3 + 2x) + (7x + 2) = 37
(-3 * 5 + 2x * 5) + (7x + 2) = 37
(-15 + 10x) + (7x + 2) = 37

Reorder the terms:
-15 + 10x + (2 + 7x) = 37

Remove parenthesis around (2 + 7x)
-15 + 10x + 2 + 7x = 37

Reorder the terms:
-15 + 2 + 10x + 7x = 37

Combine like terms: -15 + 2 = -13
-13 + 10x + 7x = 37

Combine like terms: 10x + 7x = 17x
-13 + 17x = 37

Solving
-13 + 17x = 37

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 17x = 37 + 13

Combine like terms: -13 + 13 = 0
0 + 17x = 37 + 13
17x = 37 + 13

Combine like terms: 37 + 13 = 50
17x = 50

Divide each side by '17'.
x = 2.941176471

Simplifying
x = 2.941176471

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