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

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


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

Reorder the terms:
4(-5 + 3a) + -4 = 7(2a + -4) + 2a
(-5 * 4 + 3a * 4) + -4 = 7(2a + -4) + 2a
(-20 + 12a) + -4 = 7(2a + -4) + 2a

Reorder the terms:
-20 + -4 + 12a = 7(2a + -4) + 2a

Combine like terms: -20 + -4 = -24
-24 + 12a = 7(2a + -4) + 2a

Reorder the terms:
-24 + 12a = 7(-4 + 2a) + 2a
-24 + 12a = (-4 * 7 + 2a * 7) + 2a
-24 + 12a = (-28 + 14a) + 2a

Combine like terms: 14a + 2a = 16a
-24 + 12a = -28 + 16a

Solving
-24 + 12a = -28 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
-24 + 12a + -16a = -28 + 16a + -16a

Combine like terms: 12a + -16a = -4a
-24 + -4a = -28 + 16a + -16a

Combine like terms: 16a + -16a = 0
-24 + -4a = -28 + 0
-24 + -4a = -28

Add '24' to each side of the equation.
-24 + 24 + -4a = -28 + 24

Combine like terms: -24 + 24 = 0
0 + -4a = -28 + 24
-4a = -28 + 24

Combine like terms: -28 + 24 = -4
-4a = -4

Divide each side by '-4'.
a = 1

Simplifying
a = 1

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