37-2(3x+1)=30-3x

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Solution for 37-2(3x+1)=30-3x equation:


Simplifying
37 + -2(3x + 1) = 30 + -3x

Reorder the terms:
37 + -2(1 + 3x) = 30 + -3x
37 + (1 * -2 + 3x * -2) = 30 + -3x
37 + (-2 + -6x) = 30 + -3x

Combine like terms: 37 + -2 = 35
35 + -6x = 30 + -3x

Solving
35 + -6x = 30 + -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.
35 + -6x + 3x = 30 + -3x + 3x

Combine like terms: -6x + 3x = -3x
35 + -3x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
35 + -3x = 30 + 0
35 + -3x = 30

Add '-35' to each side of the equation.
35 + -35 + -3x = 30 + -35

Combine like terms: 35 + -35 = 0
0 + -3x = 30 + -35
-3x = 30 + -35

Combine like terms: 30 + -35 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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