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

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


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

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

Reorder the terms:
10 + 5x + -2(3 + x) = 37
10 + 5x + (3 * -2 + x * -2) = 37
10 + 5x + (-6 + -2x) = 37

Reorder the terms:
10 + -6 + 5x + -2x = 37

Combine like terms: 10 + -6 = 4
4 + 5x + -2x = 37

Combine like terms: 5x + -2x = 3x
4 + 3x = 37

Solving
4 + 3x = 37

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 + 3x = 37 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 37 + -4
3x = 37 + -4

Combine like terms: 37 + -4 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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