2(x-5)-4(2x-3)=16

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Solution for 2(x-5)-4(2x-3)=16 equation: 


Simplifying
2(x + -5) + -4(2x + -3) = 16

Reorder the terms:
2(-5 + x) + -4(2x + -3) = 16
(-5 * 2 + x * 2) + -4(2x + -3) = 16
(-10 + 2x) + -4(2x + -3) = 16

Reorder the terms:
-10 + 2x + -4(-3 + 2x) = 16
-10 + 2x + (-3 * -4 + 2x * -4) = 16
-10 + 2x + (12 + -8x) = 16

Reorder the terms:
-10 + 12 + 2x + -8x = 16

Combine like terms: -10 + 12 = 2
2 + 2x + -8x = 16

Combine like terms: 2x + -8x = -6x
2 + -6x = 16

Solving
2 + -6x = 16

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -6x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = 16 + -2
-6x = 16 + -2

Combine like terms: 16 + -2 = 14
-6x = 14

Divide each side by '-6'.
x = -2.333333333

Simplifying
x = -2.333333333

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