4x+6=7x-9

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Solution for 4x+6=7x-9 equation:


Simplifying
4x + 6 = 7x + -9

Reorder the terms:
6 + 4x = 7x + -9

Reorder the terms:
6 + 4x = -9 + 7x

Solving
6 + 4x = -9 + 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.
6 + 4x + -7x = -9 + 7x + -7x

Combine like terms: 4x + -7x = -3x
6 + -3x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -3x = -9 + 0
6 + -3x = -9

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -9 + -6
-3x = -9 + -6

Combine like terms: -9 + -6 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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