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

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


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

Remove parenthesis around (2x)
8 + -6x + 5 * 2x = 20 + -5x

Multiply 5 * 2
8 + -6x + 10x = 20 + -5x

Combine like terms: -6x + 10x = 4x
8 + 4x = 20 + -5x

Solving
8 + 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.
8 + 4x + 5x = 20 + -5x + 5x

Combine like terms: 4x + 5x = 9x
8 + 9x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 9x = 20 + 0
8 + 9x = 20

Add '-8' to each side of the equation.
8 + -8 + 9x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 20 + -8
9x = 20 + -8

Combine like terms: 20 + -8 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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