8x-4(2x+6)=5(7-3x)-14

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Solution for 8x-4(2x+6)=5(7-3x)-14 equation:


Simplifying
8x + -4(2x + 6) = 5(7 + -3x) + -14

Reorder the terms:
8x + -4(6 + 2x) = 5(7 + -3x) + -14
8x + (6 * -4 + 2x * -4) = 5(7 + -3x) + -14
8x + (-24 + -8x) = 5(7 + -3x) + -14

Reorder the terms:
-24 + 8x + -8x = 5(7 + -3x) + -14

Combine like terms: 8x + -8x = 0
-24 + 0 = 5(7 + -3x) + -14
-24 = 5(7 + -3x) + -14
-24 = (7 * 5 + -3x * 5) + -14
-24 = (35 + -15x) + -14

Reorder the terms:
-24 = 35 + -14 + -15x

Combine like terms: 35 + -14 = 21
-24 = 21 + -15x

Solving
-24 = 21 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-24 + 15x = 21 + -15x + 15x

Combine like terms: -15x + 15x = 0
-24 + 15x = 21 + 0
-24 + 15x = 21

Add '24' to each side of the equation.
-24 + 24 + 15x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 21 + 24
15x = 21 + 24

Combine like terms: 21 + 24 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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