0.5x-0.5(2x+7)=-0.6(x+2)

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Solution for 0.5x-0.5(2x+7)=-0.6(x+2) equation:


Simplifying
0.5x + -0.5(2x + 7) = -0.6(x + 2)

Reorder the terms:
0.5x + -0.5(7 + 2x) = -0.6(x + 2)
0.5x + (7 * -0.5 + 2x * -0.5) = -0.6(x + 2)
0.5x + (-3.5 + -1x) = -0.6(x + 2)

Reorder the terms:
-3.5 + 0.5x + -1x = -0.6(x + 2)

Combine like terms: 0.5x + -1x = -0.5x
-3.5 + -0.5x = -0.6(x + 2)

Reorder the terms:
-3.5 + -0.5x = -0.6(2 + x)
-3.5 + -0.5x = (2 * -0.6 + x * -0.6)
-3.5 + -0.5x = (-1.2 + -0.6x)

Solving
-3.5 + -0.5x = -1.2 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-3.5 + -0.5x + 0.6x = -1.2 + -0.6x + 0.6x

Combine like terms: -0.5x + 0.6x = 0.1x
-3.5 + 0.1x = -1.2 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-3.5 + 0.1x = -1.2 + 0.0
-3.5 + 0.1x = -1.2

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.1x = -1.2 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.1x = -1.2 + 3.5
0.1x = -1.2 + 3.5

Combine like terms: -1.2 + 3.5 = 2.3
0.1x = 2.3

Divide each side by '0.1'.
x = 23

Simplifying
x = 23

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