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

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


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

Reorder the terms:
3(3 + x) + -1 = 2(x + 3) + -7
(3 * 3 + x * 3) + -1 = 2(x + 3) + -7
(9 + 3x) + -1 = 2(x + 3) + -7

Reorder the terms:
9 + -1 + 3x = 2(x + 3) + -7

Combine like terms: 9 + -1 = 8
8 + 3x = 2(x + 3) + -7

Reorder the terms:
8 + 3x = 2(3 + x) + -7
8 + 3x = (3 * 2 + x * 2) + -7
8 + 3x = (6 + 2x) + -7

Reorder the terms:
8 + 3x = 6 + -7 + 2x

Combine like terms: 6 + -7 = -1
8 + 3x = -1 + 2x

Solving
8 + 3x = -1 + 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.
8 + 3x + -2x = -1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
8 + 1x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 1x = -1 + 0
8 + 1x = -1

Add '-8' to each side of the equation.
8 + -8 + 1x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -1 + -8
1x = -1 + -8

Combine like terms: -1 + -8 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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