10-5(8x+6)=12(3x+7)

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Solution for 10-5(8x+6)=12(3x+7) equation:


Simplifying
10 + -5(8x + 6) = 12(3x + 7)

Reorder the terms:
10 + -5(6 + 8x) = 12(3x + 7)
10 + (6 * -5 + 8x * -5) = 12(3x + 7)
10 + (-30 + -40x) = 12(3x + 7)

Combine like terms: 10 + -30 = -20
-20 + -40x = 12(3x + 7)

Reorder the terms:
-20 + -40x = 12(7 + 3x)
-20 + -40x = (7 * 12 + 3x * 12)
-20 + -40x = (84 + 36x)

Solving
-20 + -40x = 84 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-20 + -40x + -36x = 84 + 36x + -36x

Combine like terms: -40x + -36x = -76x
-20 + -76x = 84 + 36x + -36x

Combine like terms: 36x + -36x = 0
-20 + -76x = 84 + 0
-20 + -76x = 84

Add '20' to each side of the equation.
-20 + 20 + -76x = 84 + 20

Combine like terms: -20 + 20 = 0
0 + -76x = 84 + 20
-76x = 84 + 20

Combine like terms: 84 + 20 = 104
-76x = 104

Divide each side by '-76'.
x = -1.368421053

Simplifying
x = -1.368421053

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