17+3(x-2)=-7(x-2)+14

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Solution for 17+3(x-2)=-7(x-2)+14 equation: 


Simplifying
17 + 3(x + -2) = -7(x + -2) + 14

Reorder the terms:
17 + 3(-2 + x) = -7(x + -2) + 14
17 + (-2 * 3 + x * 3) = -7(x + -2) + 14
17 + (-6 + 3x) = -7(x + -2) + 14

Combine like terms: 17 + -6 = 11
11 + 3x = -7(x + -2) + 14

Reorder the terms:
11 + 3x = -7(-2 + x) + 14
11 + 3x = (-2 * -7 + x * -7) + 14
11 + 3x = (14 + -7x) + 14

Reorder the terms:
11 + 3x = 14 + 14 + -7x

Combine like terms: 14 + 14 = 28
11 + 3x = 28 + -7x

Solving
11 + 3x = 28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
11 + 3x + 7x = 28 + -7x + 7x

Combine like terms: 3x + 7x = 10x
11 + 10x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
11 + 10x = 28 + 0
11 + 10x = 28

Add '-11' to each side of the equation.
11 + -11 + 10x = 28 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 28 + -11
10x = 28 + -11

Combine like terms: 28 + -11 = 17
10x = 17

Divide each side by '10'.
x = 1.7

Simplifying
x = 1.7

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