8(3x+6)=8(7x-5)

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Solution for 8(3x+6)=8(7x-5) equation:


Simplifying
8(3x + 6) = 8(7x + -5)

Reorder the terms:
8(6 + 3x) = 8(7x + -5)
(6 * 8 + 3x * 8) = 8(7x + -5)
(48 + 24x) = 8(7x + -5)

Reorder the terms:
48 + 24x = 8(-5 + 7x)
48 + 24x = (-5 * 8 + 7x * 8)
48 + 24x = (-40 + 56x)

Solving
48 + 24x = -40 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
48 + 24x + -56x = -40 + 56x + -56x

Combine like terms: 24x + -56x = -32x
48 + -32x = -40 + 56x + -56x

Combine like terms: 56x + -56x = 0
48 + -32x = -40 + 0
48 + -32x = -40

Add '-48' to each side of the equation.
48 + -48 + -32x = -40 + -48

Combine like terms: 48 + -48 = 0
0 + -32x = -40 + -48
-32x = -40 + -48

Combine like terms: -40 + -48 = -88
-32x = -88

Divide each side by '-32'.
x = 2.75

Simplifying
x = 2.75

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