4x+9=7x-20

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Solution for 4x+9=7x-20 equation:


Simplifying
4x + 9 = 7x + -20

Reorder the terms:
9 + 4x = 7x + -20

Reorder the terms:
9 + 4x = -20 + 7x

Solving
9 + 4x = -20 + 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 = -20 + 7x + -7x

Combine like terms: 4x + -7x = -3x
9 + -3x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -3x = -20 + 0
9 + -3x = -20

Add '-9' to each side of the equation.
9 + -9 + -3x = -20 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -20 + -9
-3x = -20 + -9

Combine like terms: -20 + -9 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667

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