7(4-3x)+3=6(x-4)-8

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Solution for 7(4-3x)+3=6(x-4)-8 equation: 


Simplifying
7(4 + -3x) + 3 = 6(x + -4) + -8
(4 * 7 + -3x * 7) + 3 = 6(x + -4) + -8
(28 + -21x) + 3 = 6(x + -4) + -8

Reorder the terms:
28 + 3 + -21x = 6(x + -4) + -8

Combine like terms: 28 + 3 = 31
31 + -21x = 6(x + -4) + -8

Reorder the terms:
31 + -21x = 6(-4 + x) + -8
31 + -21x = (-4 * 6 + x * 6) + -8
31 + -21x = (-24 + 6x) + -8

Reorder the terms:
31 + -21x = -24 + -8 + 6x

Combine like terms: -24 + -8 = -32
31 + -21x = -32 + 6x

Solving
31 + -21x = -32 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
31 + -21x + -6x = -32 + 6x + -6x

Combine like terms: -21x + -6x = -27x
31 + -27x = -32 + 6x + -6x

Combine like terms: 6x + -6x = 0
31 + -27x = -32 + 0
31 + -27x = -32

Add '-31' to each side of the equation.
31 + -31 + -27x = -32 + -31

Combine like terms: 31 + -31 = 0
0 + -27x = -32 + -31
-27x = -32 + -31

Combine like terms: -32 + -31 = -63
-27x = -63

Divide each side by '-27'.
x = 2.333333333

Simplifying
x = 2.333333333

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