20x+40=13x-10

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Solution for 20x+40=13x-10 equation: 


Simplifying
20x + 40 = 13x + -10

Reorder the terms:
40 + 20x = 13x + -10

Reorder the terms:
40 + 20x = -10 + 13x

Solving
40 + 20x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
40 + 20x + -13x = -10 + 13x + -13x

Combine like terms: 20x + -13x = 7x
40 + 7x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
40 + 7x = -10 + 0
40 + 7x = -10

Add '-40' to each side of the equation.
40 + -40 + 7x = -10 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = -10 + -40
7x = -10 + -40

Combine like terms: -10 + -40 = -50
7x = -50

Divide each side by '7'.
x = -7.142857143

Simplifying
x = -7.142857143

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