9(x-2)=7(x-4)

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Solution for 9(x-2)=7(x-4) equation:


Simplifying
9(x + -2) = 7(x + -4)

Reorder the terms:
9(-2 + x) = 7(x + -4)
(-2 * 9 + x * 9) = 7(x + -4)
(-18 + 9x) = 7(x + -4)

Reorder the terms:
-18 + 9x = 7(-4 + x)
-18 + 9x = (-4 * 7 + x * 7)
-18 + 9x = (-28 + 7x)

Solving
-18 + 9x = -28 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-18 + 9x + -7x = -28 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-18 + 2x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 2x = -28 + 0
-18 + 2x = -28

Add '18' to each side of the equation.
-18 + 18 + 2x = -28 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -28 + 18
2x = -28 + 18

Combine like terms: -28 + 18 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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