3x-5(x+2)=3(2-4x)+8

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


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

Reorder the terms:
3x + -5(2 + x) = 3(2 + -4x) + 8
3x + (2 * -5 + x * -5) = 3(2 + -4x) + 8
3x + (-10 + -5x) = 3(2 + -4x) + 8

Reorder the terms:
-10 + 3x + -5x = 3(2 + -4x) + 8

Combine like terms: 3x + -5x = -2x
-10 + -2x = 3(2 + -4x) + 8
-10 + -2x = (2 * 3 + -4x * 3) + 8
-10 + -2x = (6 + -12x) + 8

Reorder the terms:
-10 + -2x = 6 + 8 + -12x

Combine like terms: 6 + 8 = 14
-10 + -2x = 14 + -12x

Solving
-10 + -2x = 14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-10 + -2x + 12x = 14 + -12x + 12x

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

Combine like terms: -12x + 12x = 0
-10 + 10x = 14 + 0
-10 + 10x = 14

Add '10' to each side of the equation.
-10 + 10 + 10x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 14 + 10
10x = 14 + 10

Combine like terms: 14 + 10 = 24
10x = 24

Divide each side by '10'.
x = 2.4

Simplifying
x = 2.4

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