3x-10=4x-17

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


Simplifying
3x + -10 = 4x + -17

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

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

Solving
-10 + 3x = -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 + 3x + -4x = -17 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-10 + -1x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -1x = -17 + 0
-10 + -1x = -17

Add '10' to each side of the equation.
-10 + 10 + -1x = -17 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -17 + 10
-1x = -17 + 10

Combine like terms: -17 + 10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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