6=-4(x+4)+3(-x+5)

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


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

Reorder the terms:
6 = -4(4 + x) + 3(-1x + 5)
6 = (4 * -4 + x * -4) + 3(-1x + 5)
6 = (-16 + -4x) + 3(-1x + 5)

Reorder the terms:
6 = -16 + -4x + 3(5 + -1x)
6 = -16 + -4x + (5 * 3 + -1x * 3)
6 = -16 + -4x + (15 + -3x)

Reorder the terms:
6 = -16 + 15 + -4x + -3x

Combine like terms: -16 + 15 = -1
6 = -1 + -4x + -3x

Combine like terms: -4x + -3x = -7x
6 = -1 + -7x

Solving
6 = -1 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 7x = -1 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 7x = -1 + 0
6 + 7x = -1

Add '-6' to each side of the equation.
6 + -6 + 7x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -1 + -6
7x = -1 + -6

Combine like terms: -1 + -6 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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