10x+17=3x+52

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Solution for 10x+17=3x+52 equation:


Simplifying
10x + 17 = 3x + 52

Reorder the terms:
17 + 10x = 3x + 52

Reorder the terms:
17 + 10x = 52 + 3x

Solving
17 + 10x = 52 + 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.
17 + 10x + -3x = 52 + 3x + -3x

Combine like terms: 10x + -3x = 7x
17 + 7x = 52 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 7x = 52 + 0
17 + 7x = 52

Add '-17' to each side of the equation.
17 + -17 + 7x = 52 + -17

Combine like terms: 17 + -17 = 0
0 + 7x = 52 + -17
7x = 52 + -17

Combine like terms: 52 + -17 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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