24=4(x-7)+8(1-6x)

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Solution for 24=4(x-7)+8(1-6x) equation:


Simplifying
24 = 4(x + -7) + 8(1 + -6x)

Reorder the terms:
24 = 4(-7 + x) + 8(1 + -6x)
24 = (-7 * 4 + x * 4) + 8(1 + -6x)
24 = (-28 + 4x) + 8(1 + -6x)
24 = -28 + 4x + (1 * 8 + -6x * 8)
24 = -28 + 4x + (8 + -48x)

Reorder the terms:
24 = -28 + 8 + 4x + -48x

Combine like terms: -28 + 8 = -20
24 = -20 + 4x + -48x

Combine like terms: 4x + -48x = -44x
24 = -20 + -44x

Solving
24 = -20 + -44x

Solving for variable 'x'.

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

Add '44x' to each side of the equation.
24 + 44x = -20 + -44x + 44x

Combine like terms: -44x + 44x = 0
24 + 44x = -20 + 0
24 + 44x = -20

Add '-24' to each side of the equation.
24 + -24 + 44x = -20 + -24

Combine like terms: 24 + -24 = 0
0 + 44x = -20 + -24
44x = -20 + -24

Combine like terms: -20 + -24 = -44
44x = -44

Divide each side by '44'.
x = -1

Simplifying
x = -1

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