22-(7x+6)=7(x+8)+x

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Solution for 22-(7x+6)=7(x+8)+x equation: 


Simplifying
22 + -1(7x + 6) = 7(x + 8) + x

Reorder the terms:
22 + -1(6 + 7x) = 7(x + 8) + x
22 + (6 * -1 + 7x * -1) = 7(x + 8) + x
22 + (-6 + -7x) = 7(x + 8) + x

Combine like terms: 22 + -6 = 16
16 + -7x = 7(x + 8) + x

Reorder the terms:
16 + -7x = 7(8 + x) + x
16 + -7x = (8 * 7 + x * 7) + x
16 + -7x = (56 + 7x) + x

Combine like terms: 7x + x = 8x
16 + -7x = 56 + 8x

Solving
16 + -7x = 56 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + -7x + -8x = 56 + 8x + -8x

Combine like terms: -7x + -8x = -15x
16 + -15x = 56 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -15x = 56 + 0
16 + -15x = 56

Add '-16' to each side of the equation.
16 + -16 + -15x = 56 + -16

Combine like terms: 16 + -16 = 0
0 + -15x = 56 + -16
-15x = 56 + -16

Combine like terms: 56 + -16 = 40
-15x = 40

Divide each side by '-15'.
x = -2.666666667

Simplifying
x = -2.666666667

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