3(-15x+12)=-37(x-2)

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Solution for 3(-15x+12)=-37(x-2) equation: 


Simplifying
3(-15x + 12) = -37(x + -2)

Reorder the terms:
3(12 + -15x) = -37(x + -2)
(12 * 3 + -15x * 3) = -37(x + -2)
(36 + -45x) = -37(x + -2)

Reorder the terms:
36 + -45x = -37(-2 + x)
36 + -45x = (-2 * -37 + x * -37)
36 + -45x = (74 + -37x)

Solving
36 + -45x = 74 + -37x

Solving for variable 'x'.

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

Add '37x' to each side of the equation.
36 + -45x + 37x = 74 + -37x + 37x

Combine like terms: -45x + 37x = -8x
36 + -8x = 74 + -37x + 37x

Combine like terms: -37x + 37x = 0
36 + -8x = 74 + 0
36 + -8x = 74

Add '-36' to each side of the equation.
36 + -36 + -8x = 74 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = 74 + -36
-8x = 74 + -36

Combine like terms: 74 + -36 = 38
-8x = 38

Divide each side by '-8'.
x = -4.75

Simplifying
x = -4.75

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