4x+9=7x+33

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Solution for 4x+9=7x+33 equation:


Simplifying
4x + 9 = 7x + 33

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

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

Solving
9 + 4x = 33 + 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.
9 + 4x + -7x = 33 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
9 + -3x = 33 + 0
9 + -3x = 33

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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