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

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


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

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

Combine like terms: 5 + 6 = 11
11 + -2x = 3(x + 2) + 7

Reorder the terms:
11 + -2x = 3(2 + x) + 7
11 + -2x = (2 * 3 + x * 3) + 7
11 + -2x = (6 + 3x) + 7

Reorder the terms:
11 + -2x = 6 + 7 + 3x

Combine like terms: 6 + 7 = 13
11 + -2x = 13 + 3x

Solving
11 + -2x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + -2x + -3x = 13 + 3x + -3x

Combine like terms: -2x + -3x = -5x
11 + -5x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -5x = 13 + 0
11 + -5x = 13

Add '-11' to each side of the equation.
11 + -11 + -5x = 13 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 13 + -11
-5x = 13 + -11

Combine like terms: 13 + -11 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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