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

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


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

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

Reorder the terms:
24 + 4x = x + (-7 + x)

Remove parenthesis around (-7 + x)
24 + 4x = x + -7 + x

Reorder the terms:
24 + 4x = -7 + x + x

Combine like terms: x + x = 2x
24 + 4x = -7 + 2x

Solving
24 + 4x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 4x + -2x = -7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
24 + 2x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 2x = -7 + 0
24 + 2x = -7

Add '-24' to each side of the equation.
24 + -24 + 2x = -7 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -7 + -24
2x = -7 + -24

Combine like terms: -7 + -24 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5

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