3x+16=7x-8

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Solution for 3x+16=7x-8 equation:


Simplifying
3x + 16 = 7x + -8

Reorder the terms:
16 + 3x = 7x + -8

Reorder the terms:
16 + 3x = -8 + 7x

Solving
16 + 3x = -8 + 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.
16 + 3x + -7x = -8 + 7x + -7x

Combine like terms: 3x + -7x = -4x
16 + -4x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -4x = -8 + 0
16 + -4x = -8

Add '-16' to each side of the equation.
16 + -16 + -4x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -8 + -16
-4x = -8 + -16

Combine like terms: -8 + -16 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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