5(x+4)+2=-2(x-10)-3

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Solution for 5(x+4)+2=-2(x-10)-3 equation: 


Simplifying
5(x + 4) + 2 = -2(x + -10) + -3

Reorder the terms:
5(4 + x) + 2 = -2(x + -10) + -3
(4 * 5 + x * 5) + 2 = -2(x + -10) + -3
(20 + 5x) + 2 = -2(x + -10) + -3

Reorder the terms:
20 + 2 + 5x = -2(x + -10) + -3

Combine like terms: 20 + 2 = 22
22 + 5x = -2(x + -10) + -3

Reorder the terms:
22 + 5x = -2(-10 + x) + -3
22 + 5x = (-10 * -2 + x * -2) + -3
22 + 5x = (20 + -2x) + -3

Reorder the terms:
22 + 5x = 20 + -3 + -2x

Combine like terms: 20 + -3 = 17
22 + 5x = 17 + -2x

Solving
22 + 5x = 17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
22 + 5x + 2x = 17 + -2x + 2x

Combine like terms: 5x + 2x = 7x
22 + 7x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
22 + 7x = 17 + 0
22 + 7x = 17

Add '-22' to each side of the equation.
22 + -22 + 7x = 17 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 17 + -22
7x = 17 + -22

Combine like terms: 17 + -22 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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