7x-10=4x+17

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Solution for 7x-10=4x+17 equation:


Simplifying
7x + -10 = 4x + 17

Reorder the terms:
-10 + 7x = 4x + 17

Reorder the terms:
-10 + 7x = 17 + 4x

Solving
-10 + 7x = 17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 7x + -4x = 17 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-10 + 3x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 3x = 17 + 0
-10 + 3x = 17

Add '10' to each side of the equation.
-10 + 10 + 3x = 17 + 10

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

Combine like terms: 17 + 10 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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