-3(-7-x)=.5(x+2)

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Solution for -3(-7-x)=.5(x+2) equation:


Simplifying
-3(-7 + -1x) = 0.5(x + 2)
(-7 * -3 + -1x * -3) = 0.5(x + 2)
(21 + 3x) = 0.5(x + 2)

Reorder the terms:
21 + 3x = 0.5(2 + x)
21 + 3x = (2 * 0.5 + x * 0.5)
21 + 3x = (1 + 0.5x)

Solving
21 + 3x = 1 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
21 + 3x + -0.5x = 1 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
21 + 2.5x = 1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
21 + 2.5x = 1 + 0.0
21 + 2.5x = 1

Add '-21' to each side of the equation.
21 + -21 + 2.5x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 2.5x = 1 + -21
2.5x = 1 + -21

Combine like terms: 1 + -21 = -20
2.5x = -20

Divide each side by '2.5'.
x = -8

Simplifying
x = -8

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