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

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


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

Reorder the terms:
9(-7 + x) = 5(x + -3)
(-7 * 9 + x * 9) = 5(x + -3)
(-63 + 9x) = 5(x + -3)

Reorder the terms:
-63 + 9x = 5(-3 + x)
-63 + 9x = (-3 * 5 + x * 5)
-63 + 9x = (-15 + 5x)

Solving
-63 + 9x = -15 + 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.
-63 + 9x + -5x = -15 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-63 + 4x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-63 + 4x = -15 + 0
-63 + 4x = -15

Add '63' to each side of the equation.
-63 + 63 + 4x = -15 + 63

Combine like terms: -63 + 63 = 0
0 + 4x = -15 + 63
4x = -15 + 63

Combine like terms: -15 + 63 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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