37=2x+5(-x+14)

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Solution for 37=2x+5(-x+14) equation:


Simplifying
37 = 2x + 5(-1x + 14)

Reorder the terms:
37 = 2x + 5(14 + -1x)
37 = 2x + (14 * 5 + -1x * 5)
37 = 2x + (70 + -5x)

Reorder the terms:
37 = 70 + 2x + -5x

Combine like terms: 2x + -5x = -3x
37 = 70 + -3x

Solving
37 = 70 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
37 + 3x = 70 + -3x + 3x

Combine like terms: -3x + 3x = 0
37 + 3x = 70 + 0
37 + 3x = 70

Add '-37' to each side of the equation.
37 + -37 + 3x = 70 + -37

Combine like terms: 37 + -37 = 0
0 + 3x = 70 + -37
3x = 70 + -37

Combine like terms: 70 + -37 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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