2(x+5)-4(2x-3)=38

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Solution for 2(x+5)-4(2x-3)=38 equation: 


Simplifying
2(x + 5) + -4(2x + -3) = 38

Reorder the terms:
2(5 + x) + -4(2x + -3) = 38
(5 * 2 + x * 2) + -4(2x + -3) = 38
(10 + 2x) + -4(2x + -3) = 38

Reorder the terms:
10 + 2x + -4(-3 + 2x) = 38
10 + 2x + (-3 * -4 + 2x * -4) = 38
10 + 2x + (12 + -8x) = 38

Reorder the terms:
10 + 12 + 2x + -8x = 38

Combine like terms: 10 + 12 = 22
22 + 2x + -8x = 38

Combine like terms: 2x + -8x = -6x
22 + -6x = 38

Solving
22 + -6x = 38

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -6x = 38 + -22

Combine like terms: 22 + -22 = 0
0 + -6x = 38 + -22
-6x = 38 + -22

Combine like terms: 38 + -22 = 16
-6x = 16

Divide each side by '-6'.
x = -2.666666667

Simplifying
x = -2.666666667

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