5(3x+4)=8(x-5)+12

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Solution for 5(3x+4)=8(x-5)+12 equation: 


Simplifying
5(3x + 4) = 8(x + -5) + 12

Reorder the terms:
5(4 + 3x) = 8(x + -5) + 12
(4 * 5 + 3x * 5) = 8(x + -5) + 12
(20 + 15x) = 8(x + -5) + 12

Reorder the terms:
20 + 15x = 8(-5 + x) + 12
20 + 15x = (-5 * 8 + x * 8) + 12
20 + 15x = (-40 + 8x) + 12

Reorder the terms:
20 + 15x = -40 + 12 + 8x

Combine like terms: -40 + 12 = -28
20 + 15x = -28 + 8x

Solving
20 + 15x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 15x + -8x = -28 + 8x + -8x

Combine like terms: 15x + -8x = 7x
20 + 7x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + 7x = -28 + 0
20 + 7x = -28

Add '-20' to each side of the equation.
20 + -20 + 7x = -28 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = -28 + -20
7x = -28 + -20

Combine like terms: -28 + -20 = -48
7x = -48

Divide each side by '7'.
x = -6.857142857

Simplifying
x = -6.857142857

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