3(4a-5)+2=2(7a-4)

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Solution for 3(4a-5)+2=2(7a-4) equation:


Simplifying
3(4a + -5) + 2 = 2(7a + -4)

Reorder the terms:
3(-5 + 4a) + 2 = 2(7a + -4)
(-5 * 3 + 4a * 3) + 2 = 2(7a + -4)
(-15 + 12a) + 2 = 2(7a + -4)

Reorder the terms:
-15 + 2 + 12a = 2(7a + -4)

Combine like terms: -15 + 2 = -13
-13 + 12a = 2(7a + -4)

Reorder the terms:
-13 + 12a = 2(-4 + 7a)
-13 + 12a = (-4 * 2 + 7a * 2)
-13 + 12a = (-8 + 14a)

Solving
-13 + 12a = -8 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
-13 + 12a + -14a = -8 + 14a + -14a

Combine like terms: 12a + -14a = -2a
-13 + -2a = -8 + 14a + -14a

Combine like terms: 14a + -14a = 0
-13 + -2a = -8 + 0
-13 + -2a = -8

Add '13' to each side of the equation.
-13 + 13 + -2a = -8 + 13

Combine like terms: -13 + 13 = 0
0 + -2a = -8 + 13
-2a = -8 + 13

Combine like terms: -8 + 13 = 5
-2a = 5

Divide each side by '-2'.
a = -2.5

Simplifying
a = -2.5

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