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

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


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

Reorder the terms:
5x + 3(-2 + 4x) = 8 + -3x
5x + (-2 * 3 + 4x * 3) = 8 + -3x
5x + (-6 + 12x) = 8 + -3x

Reorder the terms:
-6 + 5x + 12x = 8 + -3x

Combine like terms: 5x + 12x = 17x
-6 + 17x = 8 + -3x

Solving
-6 + 17x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 17x + 3x = 8 + -3x + 3x

Combine like terms: 17x + 3x = 20x
-6 + 20x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 20x = 8 + 0
-6 + 20x = 8

Add '6' to each side of the equation.
-6 + 6 + 20x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 20x = 8 + 6
20x = 8 + 6

Combine like terms: 8 + 6 = 14
20x = 14

Divide each side by '20'.
x = 0.7

Simplifying
x = 0.7

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