3(12x-25)=5-1(x+7)

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Solution for 3(12x-25)=5-1(x+7) equation:


Simplifying
3(12x + -25) = 5 + -1(x + 7)

Reorder the terms:
3(-25 + 12x) = 5 + -1(x + 7)
(-25 * 3 + 12x * 3) = 5 + -1(x + 7)
(-75 + 36x) = 5 + -1(x + 7)

Reorder the terms:
-75 + 36x = 5 + -1(7 + x)
-75 + 36x = 5 + (7 * -1 + x * -1)
-75 + 36x = 5 + (-7 + -1x)

Combine like terms: 5 + -7 = -2
-75 + 36x = -2 + -1x

Solving
-75 + 36x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-75 + 36x + x = -2 + -1x + x

Combine like terms: 36x + x = 37x
-75 + 37x = -2 + -1x + x

Combine like terms: -1x + x = 0
-75 + 37x = -2 + 0
-75 + 37x = -2

Add '75' to each side of the equation.
-75 + 75 + 37x = -2 + 75

Combine like terms: -75 + 75 = 0
0 + 37x = -2 + 75
37x = -2 + 75

Combine like terms: -2 + 75 = 73
37x = 73

Divide each side by '37'.
x = 1.972972973

Simplifying
x = 1.972972973

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