2(5-x)-3(4+2x)=14

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Solution for 2(5-x)-3(4+2x)=14 equation:


Simplifying
2(5 + -1x) + -3(4 + 2x) = 14
(5 * 2 + -1x * 2) + -3(4 + 2x) = 14
(10 + -2x) + -3(4 + 2x) = 14
10 + -2x + (4 * -3 + 2x * -3) = 14
10 + -2x + (-12 + -6x) = 14

Reorder the terms:
10 + -12 + -2x + -6x = 14

Combine like terms: 10 + -12 = -2
-2 + -2x + -6x = 14

Combine like terms: -2x + -6x = -8x
-2 + -8x = 14

Solving
-2 + -8x = 14

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 + -8x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 14 + 2
-8x = 14 + 2

Combine like terms: 14 + 2 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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