2.7(x-8)=-2.7(x+1.5x)

Solution for 2.7(x-8)=-2.7(x+1.5x) equation:

Simplifying
2.7(x + -8) = -2.7(x + 1.5x)

Reorder the terms:
2.7(-8 + x) = -2.7(x + 1.5x)
(-8 * 2.7 + x * 2.7) = -2.7(x + 1.5x)
(-21.6 + 2.7x) = -2.7(x + 1.5x)

Combine like terms: x + 1.5x = 2.5x
-21.6 + 2.7x = -2.7(2.5x)

Remove parenthesis around (2.5x)
-21.6 + 2.7x = -2.7 * 2.5x

Multiply -2.7 * 2.5
-21.6 + 2.7x = -6.75x

Solving
-21.6 + 2.7x = -6.75x

Solving for variable 'x'.

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

Add '6.75x' to each side of the equation.
-21.6 + 2.7x + 6.75x = -6.75x + 6.75x

Combine like terms: 2.7x + 6.75x = 9.45x
-21.6 + 9.45x = -6.75x + 6.75x

Combine like terms: -6.75x + 6.75x = 0.00
-21.6 + 9.45x = 0.00

Add '21.6' to each side of the equation.
-21.6 + 21.6 + 9.45x = 0.00 + 21.6

Combine like terms: -21.6 + 21.6 = 0.0
0.0 + 9.45x = 0.00 + 21.6
9.45x = 0.00 + 21.6

Combine like terms: 0.00 + 21.6 = 21.6
9.45x = 21.6

Divide each side by '9.45'.
x = 2.285714286

Simplifying
x = 2.285714286