4(x+3)+8(6x-5)=32-5

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Solution for 4(x+3)+8(6x-5)=32-5 equation: 


Simplifying
4(x + 3) + 8(6x + -5) = 32 + -5

Reorder the terms:
4(3 + x) + 8(6x + -5) = 32 + -5
(3 * 4 + x * 4) + 8(6x + -5) = 32 + -5
(12 + 4x) + 8(6x + -5) = 32 + -5

Reorder the terms:
12 + 4x + 8(-5 + 6x) = 32 + -5
12 + 4x + (-5 * 8 + 6x * 8) = 32 + -5
12 + 4x + (-40 + 48x) = 32 + -5

Reorder the terms:
12 + -40 + 4x + 48x = 32 + -5

Combine like terms: 12 + -40 = -28
-28 + 4x + 48x = 32 + -5

Combine like terms: 4x + 48x = 52x
-28 + 52x = 32 + -5

Combine like terms: 32 + -5 = 27
-28 + 52x = 27

Solving
-28 + 52x = 27

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 52x = 27 + 28

Combine like terms: -28 + 28 = 0
0 + 52x = 27 + 28
52x = 27 + 28

Combine like terms: 27 + 28 = 55
52x = 55

Divide each side by '52'.
x = 1.057692308

Simplifying
x = 1.057692308

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