5x+9=7(7)+2x-16

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Solution for 5x+9=7(7)+2x-16 equation:


Simplifying
5x + 9 = 7(7) + 2x + -16

Reorder the terms:
9 + 5x = 7(7) + 2x + -16

Multiply 7 * 7
9 + 5x = 49 + 2x + -16

Reorder the terms:
9 + 5x = 49 + -16 + 2x

Combine like terms: 49 + -16 = 33
9 + 5x = 33 + 2x

Solving
9 + 5x = 33 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 5x + -2x = 33 + 2x + -2x

Combine like terms: 5x + -2x = 3x
9 + 3x = 33 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 3x = 33 + 0
9 + 3x = 33

Add '-9' to each side of the equation.
9 + -9 + 3x = 33 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 33 + -9
3x = 33 + -9

Combine like terms: 33 + -9 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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