5x+7=4x-17

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Solution for 5x+7=4x-17 equation:


Simplifying
5x + 7 = 4x + -17

Reorder the terms:
7 + 5x = 4x + -17

Reorder the terms:
7 + 5x = -17 + 4x

Solving
7 + 5x = -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.
7 + 5x + -4x = -17 + 4x + -4x

Combine like terms: 5x + -4x = 1x
7 + 1x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 1x = -17 + 0
7 + 1x = -17

Add '-7' to each side of the equation.
7 + -7 + 1x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -17 + -7
1x = -17 + -7

Combine like terms: -17 + -7 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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