x+17=-6x+52

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Solution for x+17=-6x+52 equation:


Simplifying
x + 17 = -6x + 52

Reorder the terms:
17 + x = -6x + 52

Reorder the terms:
17 + x = 52 + -6x

Solving
17 + x = 52 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + x + 6x = 52 + -6x + 6x

Combine like terms: x + 6x = 7x
17 + 7x = 52 + -6x + 6x

Combine like terms: -6x + 6x = 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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