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

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


Simplifying
6(x + 4) + -1(4x + -7) = 0

Reorder the terms:
6(4 + x) + -1(4x + -7) = 0
(4 * 6 + x * 6) + -1(4x + -7) = 0
(24 + 6x) + -1(4x + -7) = 0

Reorder the terms:
24 + 6x + -1(-7 + 4x) = 0
24 + 6x + (-7 * -1 + 4x * -1) = 0
24 + 6x + (7 + -4x) = 0

Reorder the terms:
24 + 7 + 6x + -4x = 0

Combine like terms: 24 + 7 = 31
31 + 6x + -4x = 0

Combine like terms: 6x + -4x = 2x
31 + 2x = 0

Solving
31 + 2x = 0

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + 2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 2x = 0 + -31
2x = 0 + -31

Combine like terms: 0 + -31 = -31
2x = -31

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

Simplifying
x = -15.5

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