5(x+2)-(3x-7)=

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Solution for 5(x+2)-(3x-7)= equation:


Simplifying
5(x + 2) + -1(3x + -7) = 0

Reorder the terms:
5(2 + x) + -1(3x + -7) = 0
(2 * 5 + x * 5) + -1(3x + -7) = 0
(10 + 5x) + -1(3x + -7) = 0

Reorder the terms:
10 + 5x + -1(-7 + 3x) = 0
10 + 5x + (-7 * -1 + 3x * -1) = 0
10 + 5x + (7 + -3x) = 0

Reorder the terms:
10 + 7 + 5x + -3x = 0

Combine like terms: 10 + 7 = 17
17 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
17 + 2x = 0

Solving
17 + 2x = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 2x = 0 + -17

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

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

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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