0.7(4+2a)=0.5(a-7)

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Solution for 0.7(4+2a)=0.5(a-7) equation: 


Simplifying
0.7(4 + 2a) = 0.5(a + -7)
(4 * 0.7 + 2a * 0.7) = 0.5(a + -7)
(2.8 + 1.4a) = 0.5(a + -7)

Reorder the terms:
2.8 + 1.4a = 0.5(-7 + a)
2.8 + 1.4a = (-7 * 0.5 + a * 0.5)
2.8 + 1.4a = (-3.5 + 0.5a)

Solving
2.8 + 1.4a = -3.5 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
2.8 + 1.4a + -0.5a = -3.5 + 0.5a + -0.5a

Combine like terms: 1.4a + -0.5a = 0.9a
2.8 + 0.9a = -3.5 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
2.8 + 0.9a = -3.5 + 0.0
2.8 + 0.9a = -3.5

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 0.9a = -3.5 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 0.9a = -3.5 + -2.8
0.9a = -3.5 + -2.8

Combine like terms: -3.5 + -2.8 = -6.3
0.9a = -6.3

Divide each side by '0.9'.
a = -7

Simplifying
a = -7

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