5x+1=8x-20

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Solution for 5x+1=8x-20 equation:


Simplifying
5x + 1 = 8x + -20

Reorder the terms:
1 + 5x = 8x + -20

Reorder the terms:
1 + 5x = -20 + 8x

Solving
1 + 5x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1 + 5x + -8x = -20 + 8x + -8x

Combine like terms: 5x + -8x = -3x
1 + -3x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -3x = -20 + 0
1 + -3x = -20

Add '-1' to each side of the equation.
1 + -1 + -3x = -20 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -20 + -1
-3x = -20 + -1

Combine like terms: -20 + -1 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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