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

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Solution for 8+-1(4x+7)=5(x+6)+-2 equation:


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

Reorder the terms:
8 + -1(7 + 4x) = 5(x + 6) + -2
8 + (7 * -1 + 4x * -1) = 5(x + 6) + -2
8 + (-7 + -4x) = 5(x + 6) + -2

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

Reorder the terms:
1 + -4x = 5(6 + x) + -2
1 + -4x = (6 * 5 + x * 5) + -2
1 + -4x = (30 + 5x) + -2

Reorder the terms:
1 + -4x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
1 + -4x = 28 + 5x

Solving
1 + -4x = 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.
1 + -4x + -5x = 28 + 5x + -5x

Combine like terms: -4x + -5x = -9x
1 + -9x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -9x = 28 + 0
1 + -9x = 28

Add '-1' to each side of the equation.
1 + -1 + -9x = 28 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 28 + -1
-9x = 28 + -1

Combine like terms: 28 + -1 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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