10x-4=3x+17

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Solution for 10x-4=3x+17 equation:


Simplifying
10x + -4 = 3x + 17

Reorder the terms:
-4 + 10x = 3x + 17

Reorder the terms:
-4 + 10x = 17 + 3x

Solving
-4 + 10x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 10x + -3x = 17 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-4 + 7x = 17 + 0
-4 + 7x = 17

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

Combine like terms: -4 + 4 = 0
0 + 7x = 17 + 4
7x = 17 + 4

Combine like terms: 17 + 4 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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