3x-5-4x=x+5+5x-24

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Solution for 3x-5-4x=x+5+5x-24 equation:


Simplifying
3x + -5 + -4x = x + 5 + 5x + -24

Reorder the terms:
-5 + 3x + -4x = x + 5 + 5x + -24

Combine like terms: 3x + -4x = -1x
-5 + -1x = x + 5 + 5x + -24

Reorder the terms:
-5 + -1x = 5 + -24 + x + 5x

Combine like terms: 5 + -24 = -19
-5 + -1x = -19 + x + 5x

Combine like terms: x + 5x = 6x
-5 + -1x = -19 + 6x

Solving
-5 + -1x = -19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + -1x + -6x = -19 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-5 + -7x = -19 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -7x = -19 + 0
-5 + -7x = -19

Add '5' to each side of the equation.
-5 + 5 + -7x = -19 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -19 + 5
-7x = -19 + 5

Combine like terms: -19 + 5 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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