2(a-6)-4(3a-7)=42

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Solution for 2(a-6)-4(3a-7)=42 equation: 


Simplifying
2(a + -6) + -4(3a + -7) = 42

Reorder the terms:
2(-6 + a) + -4(3a + -7) = 42
(-6 * 2 + a * 2) + -4(3a + -7) = 42
(-12 + 2a) + -4(3a + -7) = 42

Reorder the terms:
-12 + 2a + -4(-7 + 3a) = 42
-12 + 2a + (-7 * -4 + 3a * -4) = 42
-12 + 2a + (28 + -12a) = 42

Reorder the terms:
-12 + 28 + 2a + -12a = 42

Combine like terms: -12 + 28 = 16
16 + 2a + -12a = 42

Combine like terms: 2a + -12a = -10a
16 + -10a = 42

Solving
16 + -10a = 42

Solving for variable 'a'.

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

Add '-16' to each side of the equation.
16 + -16 + -10a = 42 + -16

Combine like terms: 16 + -16 = 0
0 + -10a = 42 + -16
-10a = 42 + -16

Combine like terms: 42 + -16 = 26
-10a = 26

Divide each side by '-10'.
a = -2.6

Simplifying
a = -2.6

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