2(5x+2)=3x-17

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Solution for 2(5x+2)=3x-17 equation:


Simplifying
2(5x + 2) = 3x + -17

Reorder the terms:
2(2 + 5x) = 3x + -17
(2 * 2 + 5x * 2) = 3x + -17
(4 + 10x) = 3x + -17

Reorder the terms:
4 + 10x = -17 + 3x

Solving
4 + 10x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 10x + -3x = -17 + 3x + -3x

Combine like terms: 10x + -3x = 7x
4 + 7x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 7x = -17 + 0
4 + 7x = -17

Add '-4' to each side of the equation.
4 + -4 + 7x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = -17 + -4
7x = -17 + -4

Combine like terms: -17 + -4 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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