7[-x+4]+16=5x-[10x-6]-6

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Solution for 7[-x+4]+16=5x-[10x-6]-6 equation:


Simplifying
7[-1x + 4] + 16 = 5x + -1[10x + -6] + -6

Reorder the terms:
7[4 + -1x] + 16 = 5x + -1[10x + -6] + -6
[4 * 7 + -1x * 7] + 16 = 5x + -1[10x + -6] + -6
[28 + -7x] + 16 = 5x + -1[10x + -6] + -6

Reorder the terms:
28 + 16 + -7x = 5x + -1[10x + -6] + -6

Combine like terms: 28 + 16 = 44
44 + -7x = 5x + -1[10x + -6] + -6

Reorder the terms:
44 + -7x = 5x + -1[-6 + 10x] + -6
44 + -7x = 5x + [-6 * -1 + 10x * -1] + -6
44 + -7x = 5x + [6 + -10x] + -6

Reorder the terms:
44 + -7x = 6 + -6 + 5x + -10x

Combine like terms: 6 + -6 = 0
44 + -7x = 0 + 5x + -10x
44 + -7x = 5x + -10x

Combine like terms: 5x + -10x = -5x
44 + -7x = -5x

Solving
44 + -7x = -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.
44 + -7x + 5x = -5x + 5x

Combine like terms: -7x + 5x = -2x
44 + -2x = -5x + 5x

Combine like terms: -5x + 5x = 0
44 + -2x = 0

Add '-44' to each side of the equation.
44 + -44 + -2x = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -2x = 0 + -44
-2x = 0 + -44

Combine like terms: 0 + -44 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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