4(3x-2)=2(3x-5)+20

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Solution for 4(3x-2)=2(3x-5)+20 equation:


Simplifying
4(3x + -2) = 2(3x + -5) + 20

Reorder the terms:
4(-2 + 3x) = 2(3x + -5) + 20
(-2 * 4 + 3x * 4) = 2(3x + -5) + 20
(-8 + 12x) = 2(3x + -5) + 20

Reorder the terms:
-8 + 12x = 2(-5 + 3x) + 20
-8 + 12x = (-5 * 2 + 3x * 2) + 20
-8 + 12x = (-10 + 6x) + 20

Reorder the terms:
-8 + 12x = -10 + 20 + 6x

Combine like terms: -10 + 20 = 10
-8 + 12x = 10 + 6x

Solving
-8 + 12x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 12x + -6x = 10 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-8 + 6x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 6x = 10 + 0
-8 + 6x = 10

Add '8' to each side of the equation.
-8 + 8 + 6x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 10 + 8
6x = 10 + 8

Combine like terms: 10 + 8 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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