5x+16=7x-6

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Solution for 5x+16=7x-6 equation:


Simplifying
5x + 16 = 7x + -6

Reorder the terms:
16 + 5x = 7x + -6

Reorder the terms:
16 + 5x = -6 + 7x

Solving
16 + 5x = -6 + 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 + 5x + -7x = -6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
16 + -2x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -2x = -6 + 0
16 + -2x = -6

Add '-16' to each side of the equation.
16 + -16 + -2x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -6 + -16
-2x = -6 + -16

Combine like terms: -6 + -16 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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