10(4x+2)=3(8-x)+6

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Solution for 10(4x+2)=3(8-x)+6 equation:


Simplifying
10(4x + 2) = 3(8 + -1x) + 6

Reorder the terms:
10(2 + 4x) = 3(8 + -1x) + 6
(2 * 10 + 4x * 10) = 3(8 + -1x) + 6
(20 + 40x) = 3(8 + -1x) + 6
20 + 40x = (8 * 3 + -1x * 3) + 6
20 + 40x = (24 + -3x) + 6

Reorder the terms:
20 + 40x = 24 + 6 + -3x

Combine like terms: 24 + 6 = 30
20 + 40x = 30 + -3x

Solving
20 + 40x = 30 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + 40x + 3x = 30 + -3x + 3x

Combine like terms: 40x + 3x = 43x
20 + 43x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 43x = 30 + 0
20 + 43x = 30

Add '-20' to each side of the equation.
20 + -20 + 43x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 43x = 30 + -20
43x = 30 + -20

Combine like terms: 30 + -20 = 10
43x = 10

Divide each side by '43'.
x = 0.2325581395

Simplifying
x = 0.2325581395

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