.5(10x+6)-12=.2(40x-20)

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Solution for .5(10x+6)-12=.2(40x-20) equation:


Simplifying
0.5(10x + 6) + -12 = 0.2(40x + -20)

Reorder the terms:
0.5(6 + 10x) + -12 = 0.2(40x + -20)
(6 * 0.5 + 10x * 0.5) + -12 = 0.2(40x + -20)
(3 + 5x) + -12 = 0.2(40x + -20)

Reorder the terms:
3 + -12 + 5x = 0.2(40x + -20)

Combine like terms: 3 + -12 = -9
-9 + 5x = 0.2(40x + -20)

Reorder the terms:
-9 + 5x = 0.2(-20 + 40x)
-9 + 5x = (-20 * 0.2 + 40x * 0.2)
-9 + 5x = (-4 + 8x)

Solving
-9 + 5x = -4 + 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.
-9 + 5x + -8x = -4 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-9 + -3x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -3x = -4 + 0
-9 + -3x = -4

Add '9' to each side of the equation.
-9 + 9 + -3x = -4 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = -4 + 9
-3x = -4 + 9

Combine like terms: -4 + 9 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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