4(3x-2)+5x=6(2x+8)-12

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Solution for 4(3x-2)+5x=6(2x+8)-12 equation:


Simplifying
4(3x + -2) + 5x = 6(2x + 8) + -12

Reorder the terms:
4(-2 + 3x) + 5x = 6(2x + 8) + -12
(-2 * 4 + 3x * 4) + 5x = 6(2x + 8) + -12
(-8 + 12x) + 5x = 6(2x + 8) + -12

Combine like terms: 12x + 5x = 17x
-8 + 17x = 6(2x + 8) + -12

Reorder the terms:
-8 + 17x = 6(8 + 2x) + -12
-8 + 17x = (8 * 6 + 2x * 6) + -12
-8 + 17x = (48 + 12x) + -12

Reorder the terms:
-8 + 17x = 48 + -12 + 12x

Combine like terms: 48 + -12 = 36
-8 + 17x = 36 + 12x

Solving
-8 + 17x = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 17x + -12x = 36 + 12x + -12x

Combine like terms: 17x + -12x = 5x
-8 + 5x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + 5x = 36 + 0
-8 + 5x = 36

Add '8' to each side of the equation.
-8 + 8 + 5x = 36 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 36 + 8
5x = 36 + 8

Combine like terms: 36 + 8 = 44
5x = 44

Divide each side by '5'.
x = 8.8

Simplifying
x = 8.8

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