7x+6=10x-20

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Solution for 7x+6=10x-20 equation:


Simplifying
7x + 6 = 10x + -20

Reorder the terms:
6 + 7x = 10x + -20

Reorder the terms:
6 + 7x = -20 + 10x

Solving
6 + 7x = -20 + 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.
6 + 7x + -10x = -20 + 10x + -10x

Combine like terms: 7x + -10x = -3x
6 + -3x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -3x = -20 + 0
6 + -3x = -20

Add '-6' to each side of the equation.
6 + -6 + -3x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -20 + -6
-3x = -20 + -6

Combine like terms: -20 + -6 = -26
-3x = -26

Divide each side by '-3'.
x = 8.666666667

Simplifying
x = 8.666666667

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