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

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


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

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

Combine like terms: 5 + -12 = -7
-7 + 12x = 6 + -4(2x + 1)

Reorder the terms:
-7 + 12x = 6 + -4(1 + 2x)
-7 + 12x = 6 + (1 * -4 + 2x * -4)
-7 + 12x = 6 + (-4 + -8x)

Combine like terms: 6 + -4 = 2
-7 + 12x = 2 + -8x

Solving
-7 + 12x = 2 + -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.
-7 + 12x + 8x = 2 + -8x + 8x

Combine like terms: 12x + 8x = 20x
-7 + 20x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 20x = 2 + 0
-7 + 20x = 2

Add '7' to each side of the equation.
-7 + 7 + 20x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 20x = 2 + 7
20x = 2 + 7

Combine like terms: 2 + 7 = 9
20x = 9

Divide each side by '20'.
x = 0.45

Simplifying
x = 0.45

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