X+6(x-1)=7(3x+x)

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Solution for X+6(x-1)=7(3x+x) equation:


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

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

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

Combine like terms: 3x + x = 4x
-6 + X + 6x = 7(4x)

Remove parenthesis around (4x)
-6 + X + 6x = 7 * 4x

Multiply 7 * 4
-6 + X + 6x = 28x

Solving
-6 + X + 6x = 28x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X + 6 + 6x = 6 + 28x

Reorder the terms:
-6 + 6 + X + 6x = 6 + 28x

Combine like terms: -6 + 6 = 0
0 + X + 6x = 6 + 28x
X + 6x = 6 + 28x

Add '-6x' to each side of the equation.
X + 6x + -6x = 6 + 28x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = 6 + 28x + -6x
X = 6 + 28x + -6x

Combine like terms: 28x + -6x = 22x
X = 6 + 22x

Simplifying
X = 6 + 22x

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