0.5x-0.5(2x+7)=-0.6(x+3)

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Solution for 0.5x-0.5(2x+7)=-0.6(x+3) equation: 


Simplifying
0.5x + -0.5(2x + 7) = -0.6(x + 3)

Reorder the terms:
0.5x + -0.5(7 + 2x) = -0.6(x + 3)
0.5x + (7 * -0.5 + 2x * -0.5) = -0.6(x + 3)
0.5x + (-3.5 + -1x) = -0.6(x + 3)

Reorder the terms:
-3.5 + 0.5x + -1x = -0.6(x + 3)

Combine like terms: 0.5x + -1x = -0.5x
-3.5 + -0.5x = -0.6(x + 3)

Reorder the terms:
-3.5 + -0.5x = -0.6(3 + x)
-3.5 + -0.5x = (3 * -0.6 + x * -0.6)
-3.5 + -0.5x = (-1.8 + -0.6x)

Solving
-3.5 + -0.5x = -1.8 + -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 = -1.8 + -0.6x + 0.6x

Combine like terms: -0.5x + 0.6x = 0.1x
-3.5 + 0.1x = -1.8 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-3.5 + 0.1x = -1.8 + 0.0
-3.5 + 0.1x = -1.8

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.1x = -1.8 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.1x = -1.8 + 3.5
0.1x = -1.8 + 3.5

Combine like terms: -1.8 + 3.5 = 1.7
0.1x = 1.7

Divide each side by '0.1'.
x = 17

Simplifying
x = 17

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