7x-(4x-9)=33

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Solution for 7x-(4x-9)=33 equation:


Simplifying
7x + -1(4x + -9) = 33

Reorder the terms:
7x + -1(-9 + 4x) = 33
7x + (-9 * -1 + 4x * -1) = 33
7x + (9 + -4x) = 33

Reorder the terms:
9 + 7x + -4x = 33

Combine like terms: 7x + -4x = 3x
9 + 3x = 33

Solving
9 + 3x = 33

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = 33 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 33 + -9
3x = 33 + -9

Combine like terms: 33 + -9 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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