6(2x-3)=4+8(7-6x)+8

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Solution for 6(2x-3)=4+8(7-6x)+8 equation:


Simplifying
6(2x + -3) = 4 + 8(7 + -6x) + 8

Reorder the terms:
6(-3 + 2x) = 4 + 8(7 + -6x) + 8
(-3 * 6 + 2x * 6) = 4 + 8(7 + -6x) + 8
(-18 + 12x) = 4 + 8(7 + -6x) + 8
-18 + 12x = 4 + (7 * 8 + -6x * 8) + 8
-18 + 12x = 4 + (56 + -48x) + 8

Reorder the terms:
-18 + 12x = 4 + 56 + 8 + -48x

Combine like terms: 4 + 56 = 60
-18 + 12x = 60 + 8 + -48x

Combine like terms: 60 + 8 = 68
-18 + 12x = 68 + -48x

Solving
-18 + 12x = 68 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
-18 + 12x + 48x = 68 + -48x + 48x

Combine like terms: 12x + 48x = 60x
-18 + 60x = 68 + -48x + 48x

Combine like terms: -48x + 48x = 0
-18 + 60x = 68 + 0
-18 + 60x = 68

Add '18' to each side of the equation.
-18 + 18 + 60x = 68 + 18

Combine like terms: -18 + 18 = 0
0 + 60x = 68 + 18
60x = 68 + 18

Combine like terms: 68 + 18 = 86
60x = 86

Divide each side by '60'.
x = 1.433333333

Simplifying
x = 1.433333333

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