37=-2(23-x)+3(x-4)

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Solution for 37=-2(23-x)+3(x-4) equation: 


Simplifying
37 = -2(23 + -1x) + 3(x + -4)
37 = (23 * -2 + -1x * -2) + 3(x + -4)
37 = (-46 + 2x) + 3(x + -4)

Reorder the terms:
37 = -46 + 2x + 3(-4 + x)
37 = -46 + 2x + (-4 * 3 + x * 3)
37 = -46 + 2x + (-12 + 3x)

Reorder the terms:
37 = -46 + -12 + 2x + 3x

Combine like terms: -46 + -12 = -58
37 = -58 + 2x + 3x

Combine like terms: 2x + 3x = 5x
37 = -58 + 5x

Solving
37 = -58 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
37 + -5x = -58 + 5x + -5x

Combine like terms: 5x + -5x = 0
37 + -5x = -58 + 0
37 + -5x = -58

Add '-37' to each side of the equation.
37 + -37 + -5x = -58 + -37

Combine like terms: 37 + -37 = 0
0 + -5x = -58 + -37
-5x = -58 + -37

Combine like terms: -58 + -37 = -95
-5x = -95

Divide each side by '-5'.
x = 19

Simplifying
x = 19

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