8-(4*7)=5(x+6)-2

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Solution for 8-(4*7)=5(x+6)-2 equation:


Simplifying
8 + -1(4 * 7) = 5(x + 6) + -2

Multiply 4 * 7
8 + -1(28) = 5(x + 6) + -2

Multiply -1 * 28
8 + -28 = 5(x + 6) + -2

Combine like terms: 8 + -28 = -20
-20 = 5(x + 6) + -2

Reorder the terms:
-20 = 5(6 + x) + -2
-20 = (6 * 5 + x * 5) + -2
-20 = (30 + 5x) + -2

Reorder the terms:
-20 = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
-20 = 28 + 5x

Solving
-20 = 28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-20 + -5x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + -5x = 28 + 0
-20 + -5x = 28

Add '20' to each side of the equation.
-20 + 20 + -5x = 28 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = 28 + 20
-5x = 28 + 20

Combine like terms: 28 + 20 = 48
-5x = 48

Divide each side by '-5'.
x = -9.6

Simplifying
x = -9.6

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