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

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


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

Remove parenthesis around (3x)
12 * 3x + -8(5 + x) = 8x + -2

Multiply 12 * 3
36x + -8(5 + x) = 8x + -2
36x + (5 * -8 + x * -8) = 8x + -2
36x + (-40 + -8x) = 8x + -2

Reorder the terms:
-40 + 36x + -8x = 8x + -2

Combine like terms: 36x + -8x = 28x
-40 + 28x = 8x + -2

Reorder the terms:
-40 + 28x = -2 + 8x

Solving
-40 + 28x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-40 + 28x + -8x = -2 + 8x + -8x

Combine like terms: 28x + -8x = 20x
-40 + 20x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-40 + 20x = -2 + 0
-40 + 20x = -2

Add '40' to each side of the equation.
-40 + 40 + 20x = -2 + 40

Combine like terms: -40 + 40 = 0
0 + 20x = -2 + 40
20x = -2 + 40

Combine like terms: -2 + 40 = 38
20x = 38

Divide each side by '20'.
x = 1.9

Simplifying
x = 1.9

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