-2.5(x+1)=-7.5(x+3)

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Solution for -2.5(x+1)=-7.5(x+3) equation: 


Simplifying
-2.5(x + 1) = -7.5(x + 3)

Reorder the terms:
-2.5(1 + x) = -7.5(x + 3)
(1 * -2.5 + x * -2.5) = -7.5(x + 3)
(-2.5 + -2.5x) = -7.5(x + 3)

Reorder the terms:
-2.5 + -2.5x = -7.5(3 + x)
-2.5 + -2.5x = (3 * -7.5 + x * -7.5)
-2.5 + -2.5x = (-22.5 + -7.5x)

Solving
-2.5 + -2.5x = -22.5 + -7.5x

Solving for variable 'x'.

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

Add '7.5x' to each side of the equation.
-2.5 + -2.5x + 7.5x = -22.5 + -7.5x + 7.5x

Combine like terms: -2.5x + 7.5x = 5x
-2.5 + 5x = -22.5 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0
-2.5 + 5x = -22.5 + 0.0
-2.5 + 5x = -22.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 5x = -22.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 5x = -22.5 + 2.5
5x = -22.5 + 2.5

Combine like terms: -22.5 + 2.5 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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