-4x+17=7x-16

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Solution for -4x+17=7x-16 equation:


Simplifying
-4x + 17 = 7x + -16

Reorder the terms:
17 + -4x = 7x + -16

Reorder the terms:
17 + -4x = -16 + 7x

Solving
17 + -4x = -16 + 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.
17 + -4x + -7x = -16 + 7x + -7x

Combine like terms: -4x + -7x = -11x
17 + -11x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
17 + -11x = -16 + 0
17 + -11x = -16

Add '-17' to each side of the equation.
17 + -17 + -11x = -16 + -17

Combine like terms: 17 + -17 = 0
0 + -11x = -16 + -17
-11x = -16 + -17

Combine like terms: -16 + -17 = -33
-11x = -33

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

Simplifying
x = 3

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