6(5-x)+3=10(-3x+5)

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Solution for 6(5-x)+3=10(-3x+5) equation: 


Simplifying
6(5 + -1x) + 3 = 10(-3x + 5)
(5 * 6 + -1x * 6) + 3 = 10(-3x + 5)
(30 + -6x) + 3 = 10(-3x + 5)

Reorder the terms:
30 + 3 + -6x = 10(-3x + 5)

Combine like terms: 30 + 3 = 33
33 + -6x = 10(-3x + 5)

Reorder the terms:
33 + -6x = 10(5 + -3x)
33 + -6x = (5 * 10 + -3x * 10)
33 + -6x = (50 + -30x)

Solving
33 + -6x = 50 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
33 + -6x + 30x = 50 + -30x + 30x

Combine like terms: -6x + 30x = 24x
33 + 24x = 50 + -30x + 30x

Combine like terms: -30x + 30x = 0
33 + 24x = 50 + 0
33 + 24x = 50

Add '-33' to each side of the equation.
33 + -33 + 24x = 50 + -33

Combine like terms: 33 + -33 = 0
0 + 24x = 50 + -33
24x = 50 + -33

Combine like terms: 50 + -33 = 17
24x = 17

Divide each side by '24'.
x = 0.7083333333

Simplifying
x = 0.7083333333

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