2x+4(5-3x)=(9x-5)

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Solution for 2x+4(5-3x)=(9x-5) equation:


Simplifying
2x + 4(5 + -3x) = (9x + -5)
2x + (5 * 4 + -3x * 4) = (9x + -5)
2x + (20 + -12x) = (9x + -5)

Reorder the terms:
20 + 2x + -12x = (9x + -5)

Combine like terms: 2x + -12x = -10x
20 + -10x = (9x + -5)

Reorder the terms:
20 + -10x = (-5 + 9x)

Remove parenthesis around (-5 + 9x)
20 + -10x = -5 + 9x

Solving
20 + -10x = -5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + -10x + -9x = -5 + 9x + -9x

Combine like terms: -10x + -9x = -19x
20 + -19x = -5 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -19x = -5 + 0
20 + -19x = -5

Add '-20' to each side of the equation.
20 + -20 + -19x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -19x = -5 + -20
-19x = -5 + -20

Combine like terms: -5 + -20 = -25
-19x = -25

Divide each side by '-19'.
x = 1.315789474

Simplifying
x = 1.315789474

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