2.5(x-2)=2(x+2)

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Solution for 2.5(x-2)=2(x+2) equation:


Simplifying
2.5(x + -2) = 2(x + 2)

Reorder the terms:
2.5(-2 + x) = 2(x + 2)
(-2 * 2.5 + x * 2.5) = 2(x + 2)
(-5 + 2.5x) = 2(x + 2)

Reorder the terms:
-5 + 2.5x = 2(2 + x)
-5 + 2.5x = (2 * 2 + x * 2)
-5 + 2.5x = (4 + 2x)

Solving
-5 + 2.5x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 2.5x + -2x = 4 + 2x + -2x

Combine like terms: 2.5x + -2x = 0.5x
-5 + 0.5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 0.5x = 4 + 0
-5 + 0.5x = 4

Add '5' to each side of the equation.
-5 + 5 + 0.5x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5x = 4 + 5
0.5x = 4 + 5

Combine like terms: 4 + 5 = 9
0.5x = 9

Divide each side by '0.5'.
x = 18

Simplifying
x = 18

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