9-5(x+3)=7-3(x+5)

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Solution for 9-5(x+3)=7-3(x+5) equation:


Simplifying
9 + -5(x + 3) = 7 + -3(x + 5)

Reorder the terms:
9 + -5(3 + x) = 7 + -3(x + 5)
9 + (3 * -5 + x * -5) = 7 + -3(x + 5)
9 + (-15 + -5x) = 7 + -3(x + 5)

Combine like terms: 9 + -15 = -6
-6 + -5x = 7 + -3(x + 5)

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

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

Solving
-6 + -5x = -8 + -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.
-6 + -5x + 3x = -8 + -3x + 3x

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

Combine like terms: -3x + 3x = 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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