x+6(x-q)=7(3+x)

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Solution for x+6(x-q)=7(3+x) equation:


Simplifying
x + 6(x + -1q) = 7(3 + x)

Reorder the terms:
x + 6(-1q + x) = 7(3 + x)
x + (-1q * 6 + x * 6) = 7(3 + x)
x + (-6q + 6x) = 7(3 + x)

Reorder the terms:
-6q + x + 6x = 7(3 + x)

Combine like terms: x + 6x = 7x
-6q + 7x = 7(3 + x)
-6q + 7x = (3 * 7 + x * 7)
-6q + 7x = (21 + 7x)

Add '-7x' to each side of the equation.
-6q + 7x + -7x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6q + 0 = 21 + 7x + -7x
-6q = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6q = 21 + 0
-6q = 21

Solving
-6q = 21

Solving for variable 'q'.

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

Divide each side by '-6'.
q = -3.5

Simplifying
q = -3.5

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