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

Combine like terms: 4 + 7 = 11
8 + -1(11) = 5(x + 6) + -2

Multiply -1 * 11
8 + -11 = 5(x + 6) + -2

Combine like terms: 8 + -11 = -3
-3 = 5(x + 6) + -2

Reorder the terms:
-3 = 5(6 + x) + -2
-3 = (6 * 5 + x * 5) + -2
-3 = (30 + 5x) + -2

Reorder the terms:
-3 = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
-3 = 28 + 5x

Solving
-3 = 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.
-3 + -5x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -5x = 28 + 0
-3 + -5x = 28

Add '3' to each side of the equation.
-3 + 3 + -5x = 28 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 28 + 3
-5x = 28 + 3

Combine like terms: 28 + 3 = 31
-5x = 31

Divide each side by '-5'.
x = -6.2

Simplifying
x = -6.2

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