.4(5x-15)=2.5(x+3)

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Solution for .4(5x-15)=2.5(x+3) equation:


Simplifying
0.4(5x + -15) = 2.5(x + 3)

Reorder the terms:
0.4(-15 + 5x) = 2.5(x + 3)
(-15 * 0.4 + 5x * 0.4) = 2.5(x + 3)
(-6 + 2x) = 2.5(x + 3)

Reorder the terms:
-6 + 2x = 2.5(3 + x)
-6 + 2x = (3 * 2.5 + x * 2.5)
-6 + 2x = (7.5 + 2.5x)

Solving
-6 + 2x = 7.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
-6 + 2x + -2.5x = 7.5 + 2.5x + -2.5x

Combine like terms: 2x + -2.5x = -0.5x
-6 + -0.5x = 7.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-6 + -0.5x = 7.5 + 0.0
-6 + -0.5x = 7.5

Add '6' to each side of the equation.
-6 + 6 + -0.5x = 7.5 + 6

Combine like terms: -6 + 6 = 0
0 + -0.5x = 7.5 + 6
-0.5x = 7.5 + 6

Combine like terms: 7.5 + 6 = 13.5
-0.5x = 13.5

Divide each side by '-0.5'.
x = -27

Simplifying
x = -27

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