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

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


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

Reorder the terms:
3(3 + x) + -2(2x + 1) = 1
(3 * 3 + x * 3) + -2(2x + 1) = 1
(9 + 3x) + -2(2x + 1) = 1

Reorder the terms:
9 + 3x + -2(1 + 2x) = 1
9 + 3x + (1 * -2 + 2x * -2) = 1
9 + 3x + (-2 + -4x) = 1

Reorder the terms:
9 + -2 + 3x + -4x = 1

Combine like terms: 9 + -2 = 7
7 + 3x + -4x = 1

Combine like terms: 3x + -4x = -1x
7 + -1x = 1

Solving
7 + -1x = 1

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 1 + -7
-1x = 1 + -7

Combine like terms: 1 + -7 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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