2.7(x-8)=-2.7(x+15)

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Solution for 2.7(x-8)=-2.7(x+15) equation: 


Simplifying
2.7(x + -8) = -2.7(x + 15)

Reorder the terms:
2.7(-8 + x) = -2.7(x + 15)
(-8 * 2.7 + x * 2.7) = -2.7(x + 15)
(-21.6 + 2.7x) = -2.7(x + 15)

Reorder the terms:
-21.6 + 2.7x = -2.7(15 + x)
-21.6 + 2.7x = (15 * -2.7 + x * -2.7)
-21.6 + 2.7x = (-40.5 + -2.7x)

Solving
-21.6 + 2.7x = -40.5 + -2.7x

Solving for variable 'x'.

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

Add '2.7x' to each side of the equation.
-21.6 + 2.7x + 2.7x = -40.5 + -2.7x + 2.7x

Combine like terms: 2.7x + 2.7x = 5.4x
-21.6 + 5.4x = -40.5 + -2.7x + 2.7x

Combine like terms: -2.7x + 2.7x = 0.0
-21.6 + 5.4x = -40.5 + 0.0
-21.6 + 5.4x = -40.5

Add '21.6' to each side of the equation.
-21.6 + 21.6 + 5.4x = -40.5 + 21.6

Combine like terms: -21.6 + 21.6 = 0.0
0.0 + 5.4x = -40.5 + 21.6
5.4x = -40.5 + 21.6

Combine like terms: -40.5 + 21.6 = -18.9
5.4x = -18.9

Divide each side by '5.4'.
x = -3.5

Simplifying
x = -3.5

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