5(10-x)-2(3x+5)=-37

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Solution for 5(10-x)-2(3x+5)=-37 equation: 


Simplifying
5(10 + -1x) + -2(3x + 5) = -37
(10 * 5 + -1x * 5) + -2(3x + 5) = -37
(50 + -5x) + -2(3x + 5) = -37

Reorder the terms:
50 + -5x + -2(5 + 3x) = -37
50 + -5x + (5 * -2 + 3x * -2) = -37
50 + -5x + (-10 + -6x) = -37

Reorder the terms:
50 + -10 + -5x + -6x = -37

Combine like terms: 50 + -10 = 40
40 + -5x + -6x = -37

Combine like terms: -5x + -6x = -11x
40 + -11x = -37

Solving
40 + -11x = -37

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + -11x = -37 + -40

Combine like terms: 40 + -40 = 0
0 + -11x = -37 + -40
-11x = -37 + -40

Combine like terms: -37 + -40 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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