3x+23=7x-9

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Solution for 3x+23=7x-9 equation:


Simplifying
3x + 23 = 7x + -9

Reorder the terms:
23 + 3x = 7x + -9

Reorder the terms:
23 + 3x = -9 + 7x

Solving
23 + 3x = -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.
23 + 3x + -7x = -9 + 7x + -7x

Combine like terms: 3x + -7x = -4x
23 + -4x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
23 + -4x = -9 + 0
23 + -4x = -9

Add '-23' to each side of the equation.
23 + -23 + -4x = -9 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = -9 + -23
-4x = -9 + -23

Combine like terms: -9 + -23 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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