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

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


Simplifying
5(a + x) = 2(2a + 3x)
(a * 5 + x * 5) = 2(2a + 3x)
(5a + 5x) = 2(2a + 3x)
5a + 5x = (2a * 2 + 3x * 2)
5a + 5x = (4a + 6x)

Solving
5a + 5x = 4a + 6x

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
5a + -4a + 5x = 4a + -4a + 6x

Combine like terms: 5a + -4a = 1a
1a + 5x = 4a + -4a + 6x

Combine like terms: 4a + -4a = 0
1a + 5x = 0 + 6x
1a + 5x = 6x

Add '-5x' to each side of the equation.
1a + 5x + -5x = 6x + -5x

Combine like terms: 5x + -5x = 0
1a + 0 = 6x + -5x
1a = 6x + -5x

Combine like terms: 6x + -5x = 1x
1a = 1x

Divide each side by '1'.
a = 1x

Simplifying
a = 1x

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