7x-16=10x+17

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Solution for 7x-16=10x+17 equation:


Simplifying
7x + -16 = 10x + 17

Reorder the terms:
-16 + 7x = 10x + 17

Reorder the terms:
-16 + 7x = 17 + 10x

Solving
-16 + 7x = 17 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-16 + 7x + -10x = 17 + 10x + -10x

Combine like terms: 7x + -10x = -3x
-16 + -3x = 17 + 10x + -10x

Combine like terms: 10x + -10x = 0
-16 + -3x = 17 + 0
-16 + -3x = 17

Add '16' to each side of the equation.
-16 + 16 + -3x = 17 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = 17 + 16
-3x = 17 + 16

Combine like terms: 17 + 16 = 33
-3x = 33

Divide each side by '-3'.
x = -11

Simplifying
x = -11

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