6x+7=100+3x-20

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Solution for 6x+7=100+3x-20 equation:


Simplifying
6x + 7 = 100 + 3x + -20

Reorder the terms:
7 + 6x = 100 + 3x + -20

Reorder the terms:
7 + 6x = 100 + -20 + 3x

Combine like terms: 100 + -20 = 80
7 + 6x = 80 + 3x

Solving
7 + 6x = 80 + 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.
7 + 6x + -3x = 80 + 3x + -3x

Combine like terms: 6x + -3x = 3x
7 + 3x = 80 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 3x = 80 + 0
7 + 3x = 80

Add '-7' to each side of the equation.
7 + -7 + 3x = 80 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 80 + -7
3x = 80 + -7

Combine like terms: 80 + -7 = 73
3x = 73

Divide each side by '3'.
x = 24.33333333

Simplifying
x = 24.33333333

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