1.8(a-1)=-0.7(a-11)

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Solution for 1.8(a-1)=-0.7(a-11) equation: 


Simplifying
1.8(a + -1) = -0.7(a + -11)

Reorder the terms:
1.8(-1 + a) = -0.7(a + -11)
(-1 * 1.8 + a * 1.8) = -0.7(a + -11)
(-1.8 + 1.8a) = -0.7(a + -11)

Reorder the terms:
-1.8 + 1.8a = -0.7(-11 + a)
-1.8 + 1.8a = (-11 * -0.7 + a * -0.7)
-1.8 + 1.8a = (7.7 + -0.7a)

Solving
-1.8 + 1.8a = 7.7 + -0.7a

Solving for variable 'a'.

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

Add '0.7a' to each side of the equation.
-1.8 + 1.8a + 0.7a = 7.7 + -0.7a + 0.7a

Combine like terms: 1.8a + 0.7a = 2.5a
-1.8 + 2.5a = 7.7 + -0.7a + 0.7a

Combine like terms: -0.7a + 0.7a = 0.0
-1.8 + 2.5a = 7.7 + 0.0
-1.8 + 2.5a = 7.7

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.5a = 7.7 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.5a = 7.7 + 1.8
2.5a = 7.7 + 1.8

Combine like terms: 7.7 + 1.8 = 9.5
2.5a = 9.5

Divide each side by '2.5'.
a = 3.8

Simplifying
a = 3.8

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