10(x+16)=-2(3-x)

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Solution for 10(x+16)=-2(3-x) equation:


Simplifying
10(x + 16) = -2(3 + -1x)

Reorder the terms:
10(16 + x) = -2(3 + -1x)
(16 * 10 + x * 10) = -2(3 + -1x)
(160 + 10x) = -2(3 + -1x)
160 + 10x = (3 * -2 + -1x * -2)
160 + 10x = (-6 + 2x)

Solving
160 + 10x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
160 + 10x + -2x = -6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
160 + 8x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
160 + 8x = -6 + 0
160 + 8x = -6

Add '-160' to each side of the equation.
160 + -160 + 8x = -6 + -160

Combine like terms: 160 + -160 = 0
0 + 8x = -6 + -160
8x = -6 + -160

Combine like terms: -6 + -160 = -166
8x = -166

Divide each side by '8'.
x = -20.75

Simplifying
x = -20.75

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