X+6(x+4)=7x-22

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Solution for X+6(x+4)=7x-22 equation:


Simplifying
X + 6(x + 4) = 7x + -22

Reorder the terms:
X + 6(4 + x) = 7x + -22
X + (4 * 6 + x * 6) = 7x + -22
X + (24 + 6x) = 7x + -22

Reorder the terms:
24 + X + 6x = 7x + -22

Reorder the terms:
24 + X + 6x = -22 + 7x

Solving
24 + X + 6x = -22 + 7x

Solving for variable 'X'.

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

Add '-24' to each side of the equation.
24 + X + -24 + 6x = -22 + -24 + 7x

Reorder the terms:
24 + -24 + X + 6x = -22 + -24 + 7x

Combine like terms: 24 + -24 = 0
0 + X + 6x = -22 + -24 + 7x
X + 6x = -22 + -24 + 7x

Combine like terms: -22 + -24 = -46
X + 6x = -46 + 7x

Add '-6x' to each side of the equation.
X + 6x + -6x = -46 + 7x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = -46 + 7x + -6x
X = -46 + 7x + -6x

Combine like terms: 7x + -6x = 1x
X = -46 + 1x

Simplifying
X = -46 + 1x

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