3-8(2-x)=3(4x+3)

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


Simplifying
3 + -8(2 + -1x) = 3(4x + 3)
3 + (2 * -8 + -1x * -8) = 3(4x + 3)
3 + (-16 + 8x) = 3(4x + 3)

Combine like terms: 3 + -16 = -13
-13 + 8x = 3(4x + 3)

Reorder the terms:
-13 + 8x = 3(3 + 4x)
-13 + 8x = (3 * 3 + 4x * 3)
-13 + 8x = (9 + 12x)

Solving
-13 + 8x = 9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-13 + 8x + -12x = 9 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-13 + -4x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-13 + -4x = 9 + 0
-13 + -4x = 9

Add '13' to each side of the equation.
-13 + 13 + -4x = 9 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 9 + 13
-4x = 9 + 13

Combine like terms: 9 + 13 = 22
-4x = 22

Divide each side by '-4'.
x = -5.5

Simplifying
x = -5.5

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