3x+7+x-1=5x-20

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Solution for 3x+7+x-1=5x-20 equation:


Simplifying
3x + 7 + x + -1 = 5x + -20

Reorder the terms:
7 + -1 + 3x + x = 5x + -20

Combine like terms: 7 + -1 = 6
6 + 3x + x = 5x + -20

Combine like terms: 3x + x = 4x
6 + 4x = 5x + -20

Reorder the terms:
6 + 4x = -20 + 5x

Solving
6 + 4x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 4x + -5x = -20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
6 + -1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -1x = -20 + 0
6 + -1x = -20

Add '-6' to each side of the equation.
6 + -6 + -1x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -20 + -6
-1x = -20 + -6

Combine like terms: -20 + -6 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26

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