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

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


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

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

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

Reorder the terms:
-2 + 3x = 7 + -5(-9 + x)
-2 + 3x = 7 + (-9 * -5 + x * -5)
-2 + 3x = 7 + (45 + -5x)

Combine like terms: 7 + 45 = 52
-2 + 3x = 52 + -5x

Solving
-2 + 3x = 52 + -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.
-2 + 3x + 5x = 52 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-2 + 8x = 52 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 8x = 52 + 0
-2 + 8x = 52

Add '2' to each side of the equation.
-2 + 2 + 8x = 52 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 52 + 2
8x = 52 + 2

Combine like terms: 52 + 2 = 54
8x = 54

Divide each side by '8'.
x = 6.75

Simplifying
x = 6.75

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