7x+10=4x-17

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Solution for 7x+10=4x-17 equation:


Simplifying
7x + 10 = 4x + -17

Reorder the terms:
10 + 7x = 4x + -17

Reorder the terms:
10 + 7x = -17 + 4x

Solving
10 + 7x = -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 + 7x + -4x = -17 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
10 + 3x = -17 + 0
10 + 3x = -17

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

Combine like terms: 10 + -10 = 0
0 + 3x = -17 + -10
3x = -17 + -10

Combine like terms: -17 + -10 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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