3(x+2)=5(x+3)-7

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Solution for 3(x+2)=5(x+3)-7 equation: 


Simplifying
3(x + 2) = 5(x + 3) + -7

Reorder the terms:
3(2 + x) = 5(x + 3) + -7
(2 * 3 + x * 3) = 5(x + 3) + -7
(6 + 3x) = 5(x + 3) + -7

Reorder the terms:
6 + 3x = 5(3 + x) + -7
6 + 3x = (3 * 5 + x * 5) + -7
6 + 3x = (15 + 5x) + -7

Reorder the terms:
6 + 3x = 15 + -7 + 5x

Combine like terms: 15 + -7 = 8
6 + 3x = 8 + 5x

Solving
6 + 3x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = 8 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = 8 + 0
6 + -2x = 8

Add '-6' to each side of the equation.
6 + -6 + -2x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 8 + -6
-2x = 8 + -6

Combine like terms: 8 + -6 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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