9+5(x-1)=9-3(x-3)

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Solution for 9+5(x-1)=9-3(x-3) equation:


Simplifying
9 + 5(x + -1) = 9 + -3(x + -3)

Reorder the terms:
9 + 5(-1 + x) = 9 + -3(x + -3)
9 + (-1 * 5 + x * 5) = 9 + -3(x + -3)
9 + (-5 + 5x) = 9 + -3(x + -3)

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

Reorder the terms:
4 + 5x = 9 + -3(-3 + x)
4 + 5x = 9 + (-3 * -3 + x * -3)
4 + 5x = 9 + (9 + -3x)

Combine like terms: 9 + 9 = 18
4 + 5x = 18 + -3x

Solving
4 + 5x = 18 + -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.
4 + 5x + 3x = 18 + -3x + 3x

Combine like terms: 5x + 3x = 8x
4 + 8x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 8x = 18 + 0
4 + 8x = 18

Add '-4' to each side of the equation.
4 + -4 + 8x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 18 + -4
8x = 18 + -4

Combine like terms: 18 + -4 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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