2(x+8)=10(x-3)

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Solution for 2(x+8)=10(x-3) equation: 


Simplifying
2(x + 8) = 10(x + -3)

Reorder the terms:
2(8 + x) = 10(x + -3)
(8 * 2 + x * 2) = 10(x + -3)
(16 + 2x) = 10(x + -3)

Reorder the terms:
16 + 2x = 10(-3 + x)
16 + 2x = (-3 * 10 + x * 10)
16 + 2x = (-30 + 10x)

Solving
16 + 2x = -30 + 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.
16 + 2x + -10x = -30 + 10x + -10x

Combine like terms: 2x + -10x = -8x
16 + -8x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -8x = -30 + 0
16 + -8x = -30

Add '-16' to each side of the equation.
16 + -16 + -8x = -30 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = -30 + -16
-8x = -30 + -16

Combine like terms: -30 + -16 = -46
-8x = -46

Divide each side by '-8'.
x = 5.75

Simplifying
x = 5.75

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