3x+9=4x-7

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Solution for 3x+9=4x-7 equation: 


Simplifying
3x + 9 = 4x + -7

Reorder the terms:
9 + 3x = 4x + -7

Reorder the terms:
9 + 3x = -7 + 4x

Solving
9 + 3x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 3x + -4x = -7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = -7 + 0
9 + -1x = -7

Add '-9' to each side of the equation.
9 + -9 + -1x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -7 + -9
-1x = -7 + -9

Combine like terms: -7 + -9 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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