2(7a-3)=10(2a-5)-4

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Solution for 2(7a-3)=10(2a-5)-4 equation:


Simplifying
2(7a + -3) = 10(2a + -5) + -4

Reorder the terms:
2(-3 + 7a) = 10(2a + -5) + -4
(-3 * 2 + 7a * 2) = 10(2a + -5) + -4
(-6 + 14a) = 10(2a + -5) + -4

Reorder the terms:
-6 + 14a = 10(-5 + 2a) + -4
-6 + 14a = (-5 * 10 + 2a * 10) + -4
-6 + 14a = (-50 + 20a) + -4

Reorder the terms:
-6 + 14a = -50 + -4 + 20a

Combine like terms: -50 + -4 = -54
-6 + 14a = -54 + 20a

Solving
-6 + 14a = -54 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
-6 + 14a + -20a = -54 + 20a + -20a

Combine like terms: 14a + -20a = -6a
-6 + -6a = -54 + 20a + -20a

Combine like terms: 20a + -20a = 0
-6 + -6a = -54 + 0
-6 + -6a = -54

Add '6' to each side of the equation.
-6 + 6 + -6a = -54 + 6

Combine like terms: -6 + 6 = 0
0 + -6a = -54 + 6
-6a = -54 + 6

Combine like terms: -54 + 6 = -48
-6a = -48

Divide each side by '-6'.
a = 8

Simplifying
a = 8

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