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

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


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

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

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

Reorder the terms:
3 + 3x = -6 + -1 + 2x

Combine like terms: -6 + -1 = -7
3 + 3x = -7 + 2x

Solving
3 + 3x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 3x + -2x = -7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 1x = -7 + 0
3 + 1x = -7

Add '-3' to each side of the equation.
3 + -3 + 1x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -7 + -3
1x = -7 + -3

Combine like terms: -7 + -3 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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