=-5(x+4)-.5(10x+6)

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Solution for =-5(x+4)-.5(10x+6) equation:


Simplifying
0 = -5(x + 4) + -0.5(10x + 6)

Reorder the terms:
0 = -5(4 + x) + -0.5(10x + 6)
0 = (4 * -5 + x * -5) + -0.5(10x + 6)
0 = (-20 + -5x) + -0.5(10x + 6)

Reorder the terms:
0 = -20 + -5x + -0.5(6 + 10x)
0 = -20 + -5x + (6 * -0.5 + 10x * -0.5)
0 = -20 + -5x + (-3 + -5x)

Reorder the terms:
0 = -20 + -3 + -5x + -5x

Combine like terms: -20 + -3 = -23
0 = -23 + -5x + -5x

Combine like terms: -5x + -5x = -10x
0 = -23 + -10x

Solving
0 = -23 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
0 + 10x = -23 + -10x + 10x
Remove the zero:
10x = -23 + -10x + 10x

Combine like terms: -10x + 10x = 0
10x = -23 + 0
10x = -23

Divide each side by '10'.
x = -2.3

Simplifying
x = -2.3

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