6x+24=5x-33

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Solution for 6x+24=5x-33 equation:


Simplifying
6x + 24 = 5x + -33

Reorder the terms:
24 + 6x = 5x + -33

Reorder the terms:
24 + 6x = -33 + 5x

Solving
24 + 6x = -33 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 6x + -5x = -33 + 5x + -5x

Combine like terms: 6x + -5x = 1x
24 + 1x = -33 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + 1x = -33 + 0
24 + 1x = -33

Add '-24' to each side of the equation.
24 + -24 + 1x = -33 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = -33 + -24
1x = -33 + -24

Combine like terms: -33 + -24 = -57
1x = -57

Divide each side by '1'.
x = -57

Simplifying
x = -57

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