3x+20=10x-37

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Solution for 3x+20=10x-37 equation:


Simplifying
3x + 20 = 10x + -37

Reorder the terms:
20 + 3x = 10x + -37

Reorder the terms:
20 + 3x = -37 + 10x

Solving
20 + 3x = -37 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
20 + 3x + -10x = -37 + 10x + -10x

Combine like terms: 3x + -10x = -7x
20 + -7x = -37 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + -7x = -37 + 0
20 + -7x = -37

Add '-20' to each side of the equation.
20 + -20 + -7x = -37 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -37 + -20
-7x = -37 + -20

Combine like terms: -37 + -20 = -57
-7x = -57

Divide each side by '-7'.
x = 8.142857143

Simplifying
x = 8.142857143

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