10(1-6x)-74=6(3-8x)

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Solution for 10(1-6x)-74=6(3-8x) equation:


Simplifying
10(1 + -6x) + -74 = 6(3 + -8x)
(1 * 10 + -6x * 10) + -74 = 6(3 + -8x)
(10 + -60x) + -74 = 6(3 + -8x)

Reorder the terms:
10 + -74 + -60x = 6(3 + -8x)

Combine like terms: 10 + -74 = -64
-64 + -60x = 6(3 + -8x)
-64 + -60x = (3 * 6 + -8x * 6)
-64 + -60x = (18 + -48x)

Solving
-64 + -60x = 18 + -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.
-64 + -60x + 48x = 18 + -48x + 48x

Combine like terms: -60x + 48x = -12x
-64 + -12x = 18 + -48x + 48x

Combine like terms: -48x + 48x = 0
-64 + -12x = 18 + 0
-64 + -12x = 18

Add '64' to each side of the equation.
-64 + 64 + -12x = 18 + 64

Combine like terms: -64 + 64 = 0
0 + -12x = 18 + 64
-12x = 18 + 64

Combine like terms: 18 + 64 = 82
-12x = 82

Divide each side by '-12'.
x = -6.833333333

Simplifying
x = -6.833333333

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