5x+22-6=7x-4+3

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Solution for 5x+22-6=7x-4+3 equation:


Simplifying
5x + 22 + -6 = 7x + -4 + 3

Reorder the terms:
22 + -6 + 5x = 7x + -4 + 3

Combine like terms: 22 + -6 = 16
16 + 5x = 7x + -4 + 3

Reorder the terms:
16 + 5x = -4 + 3 + 7x

Combine like terms: -4 + 3 = -1
16 + 5x = -1 + 7x

Solving
16 + 5x = -1 + 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 = -1 + 7x + -7x

Combine like terms: 5x + -7x = -2x
16 + -2x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -2x = -1 + 0
16 + -2x = -1

Add '-16' to each side of the equation.
16 + -16 + -2x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -1 + -16
-2x = -1 + -16

Combine like terms: -1 + -16 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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