4x-17=-3x-45

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Solution for 4x-17=-3x-45 equation:


Simplifying
4x + -17 = -3x + -45

Reorder the terms:
-17 + 4x = -3x + -45

Reorder the terms:
-17 + 4x = -45 + -3x

Solving
-17 + 4x = -45 + -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 + 4x + 3x = -45 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-17 + 7x = -45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-17 + 7x = -45 + 0
-17 + 7x = -45

Add '17' to each side of the equation.
-17 + 17 + 7x = -45 + 17

Combine like terms: -17 + 17 = 0
0 + 7x = -45 + 17
7x = -45 + 17

Combine like terms: -45 + 17 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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