3(x+2)-6(3x-7)=1

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Solution for 3(x+2)-6(3x-7)=1 equation: 


Simplifying
3(x + 2) + -6(3x + -7) = 1

Reorder the terms:
3(2 + x) + -6(3x + -7) = 1
(2 * 3 + x * 3) + -6(3x + -7) = 1
(6 + 3x) + -6(3x + -7) = 1

Reorder the terms:
6 + 3x + -6(-7 + 3x) = 1
6 + 3x + (-7 * -6 + 3x * -6) = 1
6 + 3x + (42 + -18x) = 1

Reorder the terms:
6 + 42 + 3x + -18x = 1

Combine like terms: 6 + 42 = 48
48 + 3x + -18x = 1

Combine like terms: 3x + -18x = -15x
48 + -15x = 1

Solving
48 + -15x = 1

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + -15x = 1 + -48

Combine like terms: 48 + -48 = 0
0 + -15x = 1 + -48
-15x = 1 + -48

Combine like terms: 1 + -48 = -47
-15x = -47

Divide each side by '-15'.
x = 3.133333333

Simplifying
x = 3.133333333

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