9(x-4)=2(x+1)

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Solution for 9(x-4)=2(x+1) equation:


Simplifying
9(x + -4) = 2(x + 1)

Reorder the terms:
9(-4 + x) = 2(x + 1)
(-4 * 9 + x * 9) = 2(x + 1)
(-36 + 9x) = 2(x + 1)

Reorder the terms:
-36 + 9x = 2(1 + x)
-36 + 9x = (1 * 2 + x * 2)
-36 + 9x = (2 + 2x)

Solving
-36 + 9x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-36 + 9x + -2x = 2 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-36 + 7x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + 7x = 2 + 0
-36 + 7x = 2

Add '36' to each side of the equation.
-36 + 36 + 7x = 2 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = 2 + 36
7x = 2 + 36

Combine like terms: 2 + 36 = 38
7x = 38

Divide each side by '7'.
x = 5.428571429

Simplifying
x = 5.428571429

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