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

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


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

Reorder the terms:
7 + -5(-2 + x) = 5 + -3(x + 3)
7 + (-2 * -5 + x * -5) = 5 + -3(x + 3)
7 + (10 + -5x) = 5 + -3(x + 3)

Combine like terms: 7 + 10 = 17
17 + -5x = 5 + -3(x + 3)

Reorder the terms:
17 + -5x = 5 + -3(3 + x)
17 + -5x = 5 + (3 * -3 + x * -3)
17 + -5x = 5 + (-9 + -3x)

Combine like terms: 5 + -9 = -4
17 + -5x = -4 + -3x

Solving
17 + -5x = -4 + -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.
17 + -5x + 3x = -4 + -3x + 3x

Combine like terms: -5x + 3x = -2x
17 + -2x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + -2x = -4 + 0
17 + -2x = -4

Add '-17' to each side of the equation.
17 + -17 + -2x = -4 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = -4 + -17
-2x = -4 + -17

Combine like terms: -4 + -17 = -21
-2x = -21

Divide each side by '-2'.
x = 10.5

Simplifying
x = 10.5

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