.5(16-6x)=15-2(4+14x)

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Solution for .5(16-6x)=15-2(4+14x) equation:


Simplifying
0.5(16 + -6x) = 15 + -2(4 + 14x)
(16 * 0.5 + -6x * 0.5) = 15 + -2(4 + 14x)
(8 + -3x) = 15 + -2(4 + 14x)
8 + -3x = 15 + (4 * -2 + 14x * -2)
8 + -3x = 15 + (-8 + -28x)

Combine like terms: 15 + -8 = 7
8 + -3x = 7 + -28x

Solving
8 + -3x = 7 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
8 + -3x + 28x = 7 + -28x + 28x

Combine like terms: -3x + 28x = 25x
8 + 25x = 7 + -28x + 28x

Combine like terms: -28x + 28x = 0
8 + 25x = 7 + 0
8 + 25x = 7

Add '-8' to each side of the equation.
8 + -8 + 25x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 25x = 7 + -8
25x = 7 + -8

Combine like terms: 7 + -8 = -1
25x = -1

Divide each side by '25'.
x = -0.04

Simplifying
x = -0.04

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