8-(4x+7)=5(-3+6)-2

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Solution for 8-(4x+7)=5(-3+6)-2 equation: 


Simplifying
8 + -1(4x + 7) = 5(-3 + 6) + -2

Reorder the terms:
8 + -1(7 + 4x) = 5(-3 + 6) + -2
8 + (7 * -1 + 4x * -1) = 5(-3 + 6) + -2
8 + (-7 + -4x) = 5(-3 + 6) + -2

Combine like terms: 8 + -7 = 1
1 + -4x = 5(-3 + 6) + -2

Combine like terms: -3 + 6 = 3
1 + -4x = 5(3) + -2

Multiply 5 * 3
1 + -4x = 15 + -2

Combine like terms: 15 + -2 = 13
1 + -4x = 13

Solving
1 + -4x = 13

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 13 + -1
-4x = 13 + -1

Combine like terms: 13 + -1 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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