2x+10=-3x+50

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Solution for 2x+10=-3x+50 equation:


Simplifying
2x + 10 = -3x + 50

Reorder the terms:
10 + 2x = -3x + 50

Reorder the terms:
10 + 2x = 50 + -3x

Solving
10 + 2x = 50 + -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.
10 + 2x + 3x = 50 + -3x + 3x

Combine like terms: 2x + 3x = 5x
10 + 5x = 50 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 5x = 50 + 0
10 + 5x = 50

Add '-10' to each side of the equation.
10 + -10 + 5x = 50 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 50 + -10
5x = 50 + -10

Combine like terms: 50 + -10 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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