2x+8=-3x+53

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Solution for 2x+8=-3x+53 equation:


Simplifying
2x + 8 = -3x + 53

Reorder the terms:
8 + 2x = -3x + 53

Reorder the terms:
8 + 2x = 53 + -3x

Solving
8 + 2x = 53 + -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.
8 + 2x + 3x = 53 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = 53 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 53 + 0
8 + 5x = 53

Add '-8' to each side of the equation.
8 + -8 + 5x = 53 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 53 + -8
5x = 53 + -8

Combine like terms: 53 + -8 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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