5+4(3x-6)=8-4(2x+1)

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Solution for 5+4(3x-6)=8-4(2x+1) equation:


Simplifying
5 + 4(3x + -6) = 8 + -4(2x + 1)

Reorder the terms:
5 + 4(-6 + 3x) = 8 + -4(2x + 1)
5 + (-6 * 4 + 3x * 4) = 8 + -4(2x + 1)
5 + (-24 + 12x) = 8 + -4(2x + 1)

Combine like terms: 5 + -24 = -19
-19 + 12x = 8 + -4(2x + 1)

Reorder the terms:
-19 + 12x = 8 + -4(1 + 2x)
-19 + 12x = 8 + (1 * -4 + 2x * -4)
-19 + 12x = 8 + (-4 + -8x)

Combine like terms: 8 + -4 = 4
-19 + 12x = 4 + -8x

Solving
-19 + 12x = 4 + -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.
-19 + 12x + 8x = 4 + -8x + 8x

Combine like terms: 12x + 8x = 20x
-19 + 20x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-19 + 20x = 4 + 0
-19 + 20x = 4

Add '19' to each side of the equation.
-19 + 19 + 20x = 4 + 19

Combine like terms: -19 + 19 = 0
0 + 20x = 4 + 19
20x = 4 + 19

Combine like terms: 4 + 19 = 23
20x = 23

Divide each side by '20'.
x = 1.15

Simplifying
x = 1.15

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