3x-9=4(5x+2)

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Solution for 3x-9=4(5x+2) equation:


Simplifying
3x + -9 = 4(5x + 2)

Reorder the terms:
-9 + 3x = 4(5x + 2)

Reorder the terms:
-9 + 3x = 4(2 + 5x)
-9 + 3x = (2 * 4 + 5x * 4)
-9 + 3x = (8 + 20x)

Solving
-9 + 3x = 8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-9 + 3x + -20x = 8 + 20x + -20x

Combine like terms: 3x + -20x = -17x
-9 + -17x = 8 + 20x + -20x

Combine like terms: 20x + -20x = 0
-9 + -17x = 8 + 0
-9 + -17x = 8

Add '9' to each side of the equation.
-9 + 9 + -17x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + -17x = 8 + 9
-17x = 8 + 9

Combine like terms: 8 + 9 = 17
-17x = 17

Divide each side by '-17'.
x = -1

Simplifying
x = -1

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