3x+17=10x-32

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Solution for 3x+17=10x-32 equation:


Simplifying
3x + 17 = 10x + -32

Reorder the terms:
17 + 3x = 10x + -32

Reorder the terms:
17 + 3x = -32 + 10x

Solving
17 + 3x = -32 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
17 + 3x + -10x = -32 + 10x + -10x

Combine like terms: 3x + -10x = -7x
17 + -7x = -32 + 10x + -10x

Combine like terms: 10x + -10x = 0
17 + -7x = -32 + 0
17 + -7x = -32

Add '-17' to each side of the equation.
17 + -17 + -7x = -32 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -32 + -17
-7x = -32 + -17

Combine like terms: -32 + -17 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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