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

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


Simplifying
2(3a + 5) = 4(5 + -1x)

Reorder the terms:
2(5 + 3a) = 4(5 + -1x)
(5 * 2 + 3a * 2) = 4(5 + -1x)
(10 + 6a) = 4(5 + -1x)
10 + 6a = (5 * 4 + -1x * 4)
10 + 6a = (20 + -4x)

Solving
10 + 6a = 20 + -4x

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 6a = 20 + -10 + -4x

Combine like terms: 10 + -10 = 0
0 + 6a = 20 + -10 + -4x
6a = 20 + -10 + -4x

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

Divide each side by '6'.
a = 1.666666667 + -0.6666666667x

Simplifying
a = 1.666666667 + -0.6666666667x

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