10(x+2)=8x-17

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Solution for 10(x+2)=8x-17 equation:


Simplifying
10(x + 2) = 8x + -17

Reorder the terms:
10(2 + x) = 8x + -17
(2 * 10 + x * 10) = 8x + -17
(20 + 10x) = 8x + -17

Reorder the terms:
20 + 10x = -17 + 8x

Solving
20 + 10x = -17 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 10x + -8x = -17 + 8x + -8x

Combine like terms: 10x + -8x = 2x
20 + 2x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + 2x = -17 + 0
20 + 2x = -17

Add '-20' to each side of the equation.
20 + -20 + 2x = -17 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -17 + -20
2x = -17 + -20

Combine like terms: -17 + -20 = -37
2x = -37

Divide each side by '2'.
x = -18.5

Simplifying
x = -18.5

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