2(4-3x)+5(3x-3)=20-5x

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Solution for 2(4-3x)+5(3x-3)=20-5x equation:


Simplifying
2(4 + -3x) + 5(3x + -3) = 20 + -5x
(4 * 2 + -3x * 2) + 5(3x + -3) = 20 + -5x
(8 + -6x) + 5(3x + -3) = 20 + -5x

Reorder the terms:
8 + -6x + 5(-3 + 3x) = 20 + -5x
8 + -6x + (-3 * 5 + 3x * 5) = 20 + -5x
8 + -6x + (-15 + 15x) = 20 + -5x

Reorder the terms:
8 + -15 + -6x + 15x = 20 + -5x

Combine like terms: 8 + -15 = -7
-7 + -6x + 15x = 20 + -5x

Combine like terms: -6x + 15x = 9x
-7 + 9x = 20 + -5x

Solving
-7 + 9x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-7 + 9x + 5x = 20 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-7 + 14x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 14x = 20 + 0
-7 + 14x = 20

Add '7' to each side of the equation.
-7 + 7 + 14x = 20 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = 20 + 7
14x = 20 + 7

Combine like terms: 20 + 7 = 27
14x = 27

Divide each side by '14'.
x = 1.928571429

Simplifying
x = 1.928571429

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