7x-20=9(4x+1)

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Solution for 7x-20=9(4x+1) equation:


Simplifying
7x + -20 = 9(4x + 1)

Reorder the terms:
-20 + 7x = 9(4x + 1)

Reorder the terms:
-20 + 7x = 9(1 + 4x)
-20 + 7x = (1 * 9 + 4x * 9)
-20 + 7x = (9 + 36x)

Solving
-20 + 7x = 9 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-20 + 7x + -36x = 9 + 36x + -36x

Combine like terms: 7x + -36x = -29x
-20 + -29x = 9 + 36x + -36x

Combine like terms: 36x + -36x = 0
-20 + -29x = 9 + 0
-20 + -29x = 9

Add '20' to each side of the equation.
-20 + 20 + -29x = 9 + 20

Combine like terms: -20 + 20 = 0
0 + -29x = 9 + 20
-29x = 9 + 20

Combine like terms: 9 + 20 = 29
-29x = 29

Divide each side by '-29'.
x = -1

Simplifying
x = -1

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