9+7(x-2)=3-5(x-2)

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Solution for 9+7(x-2)=3-5(x-2) equation:


Simplifying
9 + 7(x + -2) = 3 + -5(x + -2)

Reorder the terms:
9 + 7(-2 + x) = 3 + -5(x + -2)
9 + (-2 * 7 + x * 7) = 3 + -5(x + -2)
9 + (-14 + 7x) = 3 + -5(x + -2)

Combine like terms: 9 + -14 = -5
-5 + 7x = 3 + -5(x + -2)

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

Combine like terms: 3 + 10 = 13
-5 + 7x = 13 + -5x

Solving
-5 + 7x = 13 + -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.
-5 + 7x + 5x = 13 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-5 + 12x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-5 + 12x = 13 + 0
-5 + 12x = 13

Add '5' to each side of the equation.
-5 + 5 + 12x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 13 + 5
12x = 13 + 5

Combine like terms: 13 + 5 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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