4x-9=7x-2

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Solution for 4x-9=7x-2 equation:


Simplifying
4x + -9 = 7x + -2

Reorder the terms:
-9 + 4x = 7x + -2

Reorder the terms:
-9 + 4x = -2 + 7x

Solving
-9 + 4x = -2 + 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 = -2 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-9 + -3x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -3x = -2 + 0
-9 + -3x = -2

Add '9' to each side of the equation.
-9 + 9 + -3x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = -2 + 9
-3x = -2 + 9

Combine like terms: -2 + 9 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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