5x+10=3x-20

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Solution for 5x+10=3x-20 equation:


Simplifying
5x + 10 = 3x + -20

Reorder the terms:
10 + 5x = 3x + -20

Reorder the terms:
10 + 5x = -20 + 3x

Solving
10 + 5x = -20 + 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 + 5x + -3x = -20 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = -20 + 0
10 + 2x = -20

Add '-10' to each side of the equation.
10 + -10 + 2x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -20 + -10
2x = -20 + -10

Combine like terms: -20 + -10 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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