9(x-4)-2=5(x-2)

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Solution for 9(x-4)-2=5(x-2) equation:


Simplifying
9(x + -4) + -2 = 5(x + -2)

Reorder the terms:
9(-4 + x) + -2 = 5(x + -2)
(-4 * 9 + x * 9) + -2 = 5(x + -2)
(-36 + 9x) + -2 = 5(x + -2)

Reorder the terms:
-36 + -2 + 9x = 5(x + -2)

Combine like terms: -36 + -2 = -38
-38 + 9x = 5(x + -2)

Reorder the terms:
-38 + 9x = 5(-2 + x)
-38 + 9x = (-2 * 5 + x * 5)
-38 + 9x = (-10 + 5x)

Solving
-38 + 9x = -10 + 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.
-38 + 9x + -5x = -10 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-38 + 4x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-38 + 4x = -10 + 0
-38 + 4x = -10

Add '38' to each side of the equation.
-38 + 38 + 4x = -10 + 38

Combine like terms: -38 + 38 = 0
0 + 4x = -10 + 38
4x = -10 + 38

Combine like terms: -10 + 38 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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