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

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


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

Reorder the terms:
8 + -6x + 5(3 + 2x) = 20 + -5x
8 + -6x + (3 * 5 + 2x * 5) = 20 + -5x
8 + -6x + (15 + 10x) = 20 + -5x

Reorder the terms:
8 + 15 + -6x + 10x = 20 + -5x

Combine like terms: 8 + 15 = 23
23 + -6x + 10x = 20 + -5x

Combine like terms: -6x + 10x = 4x
23 + 4x = 20 + -5x

Solving
23 + 4x = 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.
23 + 4x + 5x = 20 + -5x + 5x

Combine like terms: 4x + 5x = 9x
23 + 9x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
23 + 9x = 20 + 0
23 + 9x = 20

Add '-23' to each side of the equation.
23 + -23 + 9x = 20 + -23

Combine like terms: 23 + -23 = 0
0 + 9x = 20 + -23
9x = 20 + -23

Combine like terms: 20 + -23 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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