(2x-7)-(4x+8)=4(x+6)

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Solution for (2x-7)-(4x+8)=4(x+6) equation:


Simplifying
(2x + -7) + -1(4x + 8) = 4(x + 6)

Reorder the terms:
(-7 + 2x) + -1(4x + 8) = 4(x + 6)

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(4x + 8) = 4(x + 6)

Reorder the terms:
-7 + 2x + -1(8 + 4x) = 4(x + 6)
-7 + 2x + (8 * -1 + 4x * -1) = 4(x + 6)
-7 + 2x + (-8 + -4x) = 4(x + 6)

Reorder the terms:
-7 + -8 + 2x + -4x = 4(x + 6)

Combine like terms: -7 + -8 = -15
-15 + 2x + -4x = 4(x + 6)

Combine like terms: 2x + -4x = -2x
-15 + -2x = 4(x + 6)

Reorder the terms:
-15 + -2x = 4(6 + x)
-15 + -2x = (6 * 4 + x * 4)
-15 + -2x = (24 + 4x)

Solving
-15 + -2x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + -2x + -4x = 24 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-15 + -6x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -6x = 24 + 0
-15 + -6x = 24

Add '15' to each side of the equation.
-15 + 15 + -6x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + -6x = 24 + 15
-6x = 24 + 15

Combine like terms: 24 + 15 = 39
-6x = 39

Divide each side by '-6'.
x = -6.5

Simplifying
x = -6.5

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