8(x-4)-12=13-6(x+5)

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Solution for 8(x-4)-12=13-6(x+5) equation:


Simplifying
8(x + -4) + -12 = 13 + -6(x + 5)

Reorder the terms:
8(-4 + x) + -12 = 13 + -6(x + 5)
(-4 * 8 + x * 8) + -12 = 13 + -6(x + 5)
(-32 + 8x) + -12 = 13 + -6(x + 5)

Reorder the terms:
-32 + -12 + 8x = 13 + -6(x + 5)

Combine like terms: -32 + -12 = -44
-44 + 8x = 13 + -6(x + 5)

Reorder the terms:
-44 + 8x = 13 + -6(5 + x)
-44 + 8x = 13 + (5 * -6 + x * -6)
-44 + 8x = 13 + (-30 + -6x)

Combine like terms: 13 + -30 = -17
-44 + 8x = -17 + -6x

Solving
-44 + 8x = -17 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-44 + 8x + 6x = -17 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-44 + 14x = -17 + -6x + 6x

Combine like terms: -6x + 6x = 0
-44 + 14x = -17 + 0
-44 + 14x = -17

Add '44' to each side of the equation.
-44 + 44 + 14x = -17 + 44

Combine like terms: -44 + 44 = 0
0 + 14x = -17 + 44
14x = -17 + 44

Combine like terms: -17 + 44 = 27
14x = 27

Divide each side by '14'.
x = 1.928571429

Simplifying
x = 1.928571429

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