9(x-4)=8x-33

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Solution for 9(x-4)=8x-33 equation:


Simplifying
9(x + -4) = 8x + -33

Reorder the terms:
9(-4 + x) = 8x + -33
(-4 * 9 + x * 9) = 8x + -33
(-36 + 9x) = 8x + -33

Reorder the terms:
-36 + 9x = -33 + 8x

Solving
-36 + 9x = -33 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-36 + 9x + -8x = -33 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-36 + 1x = -33 + 8x + -8x

Combine like terms: 8x + -8x = 0
-36 + 1x = -33 + 0
-36 + 1x = -33

Add '36' to each side of the equation.
-36 + 36 + 1x = -33 + 36

Combine like terms: -36 + 36 = 0
0 + 1x = -33 + 36
1x = -33 + 36

Combine like terms: -33 + 36 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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